Ren, Yanxun; Jiang, Lining Left and right-Drazin inverses in rings and operator algebras. (English) Zbl 07793919 J. Algebra Appl. 23, No. 4, Article ID 2450064, 16 p. (2024). MSC: 16U90 47A53 PDFBibTeX XMLCite \textit{Y. Ren} and \textit{L. Jiang}, J. Algebra Appl. 23, No. 4, Article ID 2450064, 16 p. (2024; Zbl 07793919) Full Text: DOI
Lu, Linzhang Constructing solutions of the Yang-Baxter-like matrix equation for singular matrices. (English) Zbl 07738653 J. Comput. Appl. Math. 436, Article ID 115403, 8 p. (2024). MSC: 15A24 16T25 PDFBibTeX XMLCite \textit{L. Lu}, J. Comput. Appl. Math. 436, Article ID 115403, 8 p. (2024; Zbl 07738653) Full Text: DOI
Dinčić, Nebojša Č.; Djordjević, Bogdan D. Yang-Baxter-like matrix equation: a road less taken. (English) Zbl 07806660 Moslehian, Mohammad Sal (ed.), Matrix and operator equations and applications. Cham: Springer. Math. Online First Collect., 241-346 (2023). MSC: 15A24 47A62 16T25 47A60 47J05 PDFBibTeX XMLCite \textit{N. Č. Dinčić} and \textit{B. D. Djordjević}, in: Matrix and operator equations and applications. Cham: Springer. 241--346 (2023; Zbl 07806660) Full Text: DOI
Cvetković Ilić, Dragana; Milenković, Jovana Improvements on the reverse order laws. (English) Zbl 07747064 Math. Nachr. 296, No. 7, 2850-2858 (2023). MSC: 16W10 46L05 PDFBibTeX XMLCite \textit{D. Cvetković Ilić} and \textit{J. Milenković}, Math. Nachr. 296, No. 7, 2850--2858 (2023; Zbl 07747064) Full Text: DOI
Laiate, Beatriz On the properties of fuzzy differential equations under cross operations. (English) Zbl 07745056 Comput. Appl. Math. 42, No. 6, Paper No. 293, 26 p. (2023). MSC: 32K05 26E50 34A07 03E72 16S35 PDFBibTeX XMLCite \textit{B. Laiate}, Comput. Appl. Math. 42, No. 6, Paper No. 293, 26 p. (2023; Zbl 07745056) Full Text: DOI
Milovanović, Gradimir V.; Mir, Abdullah On the zero bounds of polynomials and regular functions of a quaternionic variable. (English) Zbl 1524.30152 Appl. Anal. Discrete Math. 17, No. 1, 216-231 (2023). MSC: 30E10 30G35 16K20 PDFBibTeX XMLCite \textit{G. V. Milovanović} and \textit{A. Mir}, Appl. Anal. Discrete Math. 17, No. 1, 216--231 (2023; Zbl 1524.30152) Full Text: DOI
Wang, Shixin; Feng, Tao Perfect state transfer on bi-Cayley graphs over abelian groups. (English) Zbl 1521.81040 Discrete Math. 346, No. 6, Article ID 113362, 22 p. (2023). MSC: 81P45 81P68 68Q12 81Q35 05C25 20K01 13D03 16H05 PDFBibTeX XMLCite \textit{S. Wang} and \textit{T. Feng}, Discrete Math. 346, No. 6, Article ID 113362, 22 p. (2023; Zbl 1521.81040) Full Text: DOI arXiv
Lercher, Johanna; Scharler, Daniel; Schröcker, Hans-Peter; Siegele, Johannes Factorization of quaternionic polynomials of bi-degree \((n,1)\). (English) Zbl 07661906 Beitr. Algebra Geom. 64, No. 1, 209-232 (2023). MSC: 16S36 12D05 PDFBibTeX XMLCite \textit{J. Lercher} et al., Beitr. Algebra Geom. 64, No. 1, 209--232 (2023; Zbl 07661906) Full Text: DOI arXiv
Çitak, Filiz Characterization of bipolar soft ideal in near rings. (English) Zbl 1496.16046 J. Discrete Math. Sci. Cryptography 25, No. 6, 1717-1728 (2022). MSC: 16Y30 16Y80 PDFBibTeX XMLCite \textit{F. Çitak}, J. Discrete Math. Sci. Cryptography 25, No. 6, 1717--1728 (2022; Zbl 1496.16046) Full Text: DOI
Ren, Yanxun; Jiang, Lining Jacobson’s lemma for the generalized \(n\)-strong Drazin inverses in rings and in operator algebras. (English) Zbl 1509.16037 Glas. Mat., III. Ser. 57, No. 1, 1-15 (2022). MSC: 16U90 47A10 15A09 PDFBibTeX XMLCite \textit{Y. Ren} and \textit{L. Jiang}, Glas. Mat., III. Ser. 57, No. 1, 1--15 (2022; Zbl 1509.16037) Full Text: DOI
Lu, Linzhang Manifold expressions of all solutions of the Yang-Baxter-like matrix equation for rank-one matrices. (English) Zbl 1496.15011 Appl. Math. Lett. 132, Article ID 108175, 7 p. (2022). MSC: 15A24 16T25 PDFBibTeX XMLCite \textit{L. Lu}, Appl. Math. Lett. 132, Article ID 108175, 7 p. (2022; Zbl 1496.15011) Full Text: DOI
Kumar, Ashim; Cardoso, João R.; Singh, Gurjinder Explicit solutions of the singular Yang-Baxter-like matrix equation and their numerical computation. (English) Zbl 07493759 Mediterr. J. Math. 19, No. 2, Paper No. 85, 19 p. (2022). MSC: 15A24 15A18 15A09 16T25 65F45 PDFBibTeX XMLCite \textit{A. Kumar} et al., Mediterr. J. Math. 19, No. 2, Paper No. 85, 19 p. (2022; Zbl 07493759) Full Text: DOI arXiv
Dinčić, Nebojša Č.; Djordjević, Bogdan D. On the intrinsic structure of the solution set to the Yang-Baxter-like matrix equation. (English) Zbl 1487.15016 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 73, 24 p. (2022). Reviewer: Igor Korepanov (Moskva) MSC: 15A24 47H10 15A09 15A10 15A16 16T25 PDFBibTeX XMLCite \textit{N. Č. Dinčić} and \textit{B. D. Djordjević}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 73, 24 p. (2022; Zbl 1487.15016) Full Text: DOI
Manon, Christopher; Yang, Jihyeon Jessie Tropical geometry and Newton-Okounkov cones for Grassmannian of planes from compactifications. (English) Zbl 1491.14072 Can. J. Math. 74, No. 1, 199-231 (2022). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 14M15 14M25 14M27 14T15 16G20 PDFBibTeX XMLCite \textit{C. Manon} and \textit{J. J. Yang}, Can. J. Math. 74, No. 1, 199--231 (2022; Zbl 1491.14072) Full Text: DOI arXiv
Wang, Long; Mosić, Dijana; Yao, Hua The commuting inverse along an element in semigroups. (English) Zbl 1505.20055 Commun. Algebra 50, No. 1, 433-443 (2022). MSC: 20M10 15A09 16U90 PDFBibTeX XMLCite \textit{L. Wang} et al., Commun. Algebra 50, No. 1, 433--443 (2022; Zbl 1505.20055) Full Text: DOI
Lercher, Johanna; Schröcker, Hans-Peter A multiplication technique for the factorization of bivariate quaternionic polynomials. (English) Zbl 1497.16027 Adv. Appl. Clifford Algebr. 32, No. 1, Paper No. 5, 23 p. (2022). Reviewer: Christoph Koutschan (Linz) MSC: 16S36 12D05 70B10 PDFBibTeX XMLCite \textit{J. Lercher} and \textit{H.-P. Schröcker}, Adv. Appl. Clifford Algebr. 32, No. 1, Paper No. 5, 23 p. (2022; Zbl 1497.16027) Full Text: DOI arXiv
Jiang, Bo; Tian, Yongge Linear and multilinear functional identities in a prime ring with applications. (English) Zbl 1478.39027 J. Algebra Appl. 20, No. 11, Article ID 2150212, 31 p. (2021). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 39B52 16E50 16N60 PDFBibTeX XMLCite \textit{B. Jiang} and \textit{Y. Tian}, J. Algebra Appl. 20, No. 11, Article ID 2150212, 31 p. (2021; Zbl 1478.39027) Full Text: DOI
Chen, Huanyin; Abdolyousefi, Marjan Sheibani Generalized Jacobson’s Lemma in a Banach algebra. (English) Zbl 07405275 Commun. Algebra 49, No. 8, 3263-3272 (2021). MSC: 16U90 47A10 15A09 47A05 47A11 PDFBibTeX XMLCite \textit{H. Chen} and \textit{M. S. Abdolyousefi}, Commun. Algebra 49, No. 8, 3263--3272 (2021; Zbl 07405275) Full Text: DOI arXiv
Israr, Muhammad; Lu, Gang; Jin, Yuanfeng; Park, Choonkil A general additive functional inequality and derivation in Banach algebras. (English) Zbl 1468.39013 J. Math. Inequal. 15, No. 1, 305-321 (2021). Reviewer: J. M. Almira (Murcia) MSC: 39B62 39B52 47H10 46B25 16W25 17B40 PDFBibTeX XMLCite \textit{M. Israr} et al., J. Math. Inequal. 15, No. 1, 305--321 (2021; Zbl 1468.39013) Full Text: DOI
Islam, Habibul; Prakash, Om New \(\mathbb{Z}_4\) codes from constacyclic codes over a non-chain ring. (English) Zbl 1487.94177 Comput. Appl. Math. 40, No. 1, Paper No. 12, 17 p. (2021). MSC: 94B15 16S35 PDFBibTeX XMLCite \textit{H. Islam} and \textit{O. Prakash}, Comput. Appl. Math. 40, No. 1, Paper No. 12, 17 p. (2021; Zbl 1487.94177) Full Text: DOI
Scharler, Daniel F.; Schröcker, Hans-Peter An algorithm for the factorization of split quaternion polynomials. (English) Zbl 1470.16051 Adv. Appl. Clifford Algebr. 31, No. 3, Paper No. 29, 23 p. (2021). MSC: 16S36 12D05 51M09 51M10 70B10 PDFBibTeX XMLCite \textit{D. F. Scharler} and \textit{H.-P. Schröcker}, Adv. Appl. Clifford Algebr. 31, No. 3, Paper No. 29, 23 p. (2021; Zbl 1470.16051) Full Text: DOI arXiv
Li, Jinxia; He, Jianxun Some results for the two-sided quaternionic Gabor Fourier transform and quaternionic Gabor frame operator. (English) Zbl 1456.42042 Adv. Appl. Clifford Algebr. 31, No. 1, Paper No. 1, 17 p. (2021). MSC: 42C15 42B10 44A15 16H05 30G35 PDFBibTeX XMLCite \textit{J. Li} and \textit{J. He}, Adv. Appl. Clifford Algebr. 31, No. 1, Paper No. 1, 17 p. (2021; Zbl 1456.42042) Full Text: DOI
Yan, Kai; Zeng, Qingping The generalized inverses of the products of two elements in a ring. (English) Zbl 1501.16032 Turk. J. Math. 44, No. 5, 1744-1756 (2020). MSC: 16U90 PDFBibTeX XMLCite \textit{K. Yan} and \textit{Q. Zeng}, Turk. J. Math. 44, No. 5, 1744--1756 (2020; Zbl 1501.16032) Full Text: DOI
Zhou, Duan-Mei; Vu, Hong-Quang Some non-commuting solutions of the Yang-Baxter-like matrix equation. (English) Zbl 1478.15021 Open Math. 18, 948-969 (2020). MSC: 15A24 16T25 PDFBibTeX XMLCite \textit{D.-M. Zhou} and \textit{H.-Q. Vu}, Open Math. 18, 948--969 (2020; Zbl 1478.15021) Full Text: DOI
Zeng, Qingping; Yan, Kai; Wu, Zhenying Further results on common properties of the products \(ac\) and \(bd\). (English) Zbl 1479.16037 Glas. Mat., III. Ser. 55, No. 2, 267-276 (2020). MSC: 16U99 47A05 47A53 PDFBibTeX XMLCite \textit{Q. Zeng} et al., Glas. Mat., III. Ser. 55, No. 2, 267--276 (2020; Zbl 1479.16037) Full Text: DOI
Shi, Guiqi; Chen, Jianlong; Li, Tingting; Zhou, Mengmeng Jacobson’s lemma and Cline’s formula for generalized inverses in a ring with involution. (English) Zbl 1465.16042 Commun. Algebra 48, No. 9, 3948-3961 (2020). Reviewer: Wen-Fong Ke (Tainan) MSC: 16W10 16U90 PDFBibTeX XMLCite \textit{G. Shi} et al., Commun. Algebra 48, No. 9, 3948--3961 (2020; Zbl 1465.16042) Full Text: DOI
Chen, Huanyin; Calci, Mete Burak On gs-Drazin inverses in a ring. (English) Zbl 1454.16043 J. Algebra Appl. 19, No. 2, Article ID 2050029, 9 p. (2020). MSC: 16U90 16E50 PDFBibTeX XMLCite \textit{H. Chen} and \textit{M. B. Calci}, J. Algebra Appl. 19, No. 2, Article ID 2050029, 9 p. (2020; Zbl 1454.16043) Full Text: DOI
Scharler, Daniel F.; Siegele, Johannes; Schröcker, Hans-Peter Quadratic split quaternion polynomials: factorization and geometry. (English) Zbl 1448.12001 Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 11, 23 p. (2020). MSC: 12E15 16S36 51N20 PDFBibTeX XMLCite \textit{D. F. Scharler} et al., Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 11, 23 p. (2020; Zbl 1448.12001) Full Text: DOI arXiv
Yan, Kai; Zeng, Qingping; Zhu, Yucan Generalized Jacobson’s lemma for Drazin inverses and its applications. (English) Zbl 1437.16033 Linear Multilinear Algebra 68, No. 1, 81-93 (2020). Reviewer: K. C. Sivakumar (Chennai) MSC: 16U90 15A09 46J10 PDFBibTeX XMLCite \textit{K. Yan} et al., Linear Multilinear Algebra 68, No. 1, 81--93 (2020; Zbl 1437.16033) Full Text: DOI
Shen, Dongmei; Wei, Musheng All solutions of the Yang-Baxter-like matrix equation for diagonalizable coefficient matrix with two different eigenvalues. (English) Zbl 1425.15013 Appl. Math. Lett. 101, Article ID 106048, 8 p. (2020). MSC: 15A24 16T25 PDFBibTeX XMLCite \textit{D. Shen} and \textit{M. Wei}, Appl. Math. Lett. 101, Article ID 106048, 8 p. (2020; Zbl 1425.15013) Full Text: DOI
He, Zhuo-Heng Some quaternion matrix equations involving \(\Phi\)-Hermicity. (English) Zbl 1499.15051 Filomat 33, No. 16, 5097-5112 (2019). MSC: 15A24 15A23 15B33 15B57 16R50 PDFBibTeX XMLCite \textit{Z.-H. He}, Filomat 33, No. 16, 5097--5112 (2019; Zbl 1499.15051) Full Text: DOI
Chen, Yinlan; Zou, Honglin Reverse order laws for Hirano inverses in rings. (English) Zbl 1499.16109 Filomat 33, No. 11, 3487-3496 (2019). MSC: 16W10 15A09 16U99 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{H. Zou}, Filomat 33, No. 11, 3487--3496 (2019; Zbl 1499.16109) Full Text: DOI
Adam, Mansour Saeed Ibrahim; Ding, Jiu; Huang, Qianglian; Zhu, Lanping All solutions of the Yang-Baxter-like matrix equation when \(A^3 = A\). (English) Zbl 1462.15019 J. Appl. Anal. Comput. 9, No. 3, 1022-1031 (2019). MSC: 15A24 16T25 17B38 PDFBibTeX XMLCite \textit{M. S. I. Adam} et al., J. Appl. Anal. Comput. 9, No. 3, 1022--1031 (2019; Zbl 1462.15019) Full Text: DOI
Zou, Honglin; Mosić, Dijana; Zuo, Kezheng; Chen, Yinlan On the \(n\)-strong Drazin invertibility in rings. (English) Zbl 1431.16040 Turk. J. Math. 43, No. 6, 2659-2679 (2019). MSC: 16U90 16S50 PDFBibTeX XMLCite \textit{H. Zou} et al., Turk. J. Math. 43, No. 6, 2659--2679 (2019; Zbl 1431.16040) Full Text: Link
Lam, T. Y.; Nielsen, Pace P. Jacobson pairs and Bott-Duffin decompositions in rings. (English) Zbl 1429.16008 Leroy, André (ed.) et al., Rings, modules and codes. Fifth international conference on noncommutative rings and their applications, University of Artois, Lens, France, June 12–15, 2017. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 727, 249-267 (2019). MSC: 16D70 16P70 16U60 16U80 PDFBibTeX XMLCite \textit{T. Y. Lam} and \textit{P. P. Nielsen}, Contemp. Math. 727, 249--267 (2019; Zbl 1429.16008) Full Text: DOI Link
Huang, Qianglian; Adam, Mansour Saeed Ibrahim; Ding, Jiu; Zhu, Lanping All non-commuting solutions of the Yang-Baxter matrix equation for a class of diagonalizable matrices. (English) Zbl 1417.15016 Oper. Matrices 13, No. 1, 187-195 (2019). MSC: 15A24 15A18 16T25 PDFBibTeX XMLCite \textit{Q. Huang} et al., Oper. Matrices 13, No. 1, 187--195 (2019; Zbl 1417.15016) Full Text: DOI
Wu, Yansheng; Tang, Gaohua; Deng, Guixin; Zhou, Yiqiang Nil-clean and unit-regular elements in certain subrings of \(\mathbb{M}_2(\mathbb{Z})\). (English) Zbl 1513.16062 Czech. Math. J. 69, No. 1, 197-205 (2019). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 16U99 16U60 16S50 PDFBibTeX XMLCite \textit{Y. Wu} et al., Czech. Math. J. 69, No. 1, 197--205 (2019; Zbl 1513.16062) Full Text: DOI
Li, Zijia; Schicho, Josef; Schröcker, Hans-Peter Factorization of motion polynomials. (English) Zbl 1411.16043 J. Symb. Comput. 92, 190-202 (2019). MSC: 16Z05 68W30 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Symb. Comput. 92, 190--202 (2019; Zbl 1411.16043) Full Text: DOI arXiv
Özdemir, Mustafa Finding \(n\)-th roots of a \(2\times 2\) real matrix using de Moivre’s formula. (English) Zbl 1403.15005 Adv. Appl. Clifford Algebr. 29, No. 1, Paper No. 2, 25 p. (2019). MSC: 15A16 15A24 15A60 16S50 PDFBibTeX XMLCite \textit{M. Özdemir}, Adv. Appl. Clifford Algebr. 29, No. 1, Paper No. 2, 25 p. (2019; Zbl 1403.15005) Full Text: DOI
Zhou, Duanmei; Chen, Guoliang; Yu, Gaohang; Zhong, Jian On the projection-based commuting solutions of the Yang-Baxter matrix equation. (English) Zbl 1459.15021 Appl. Math. Lett. 79, 155-161 (2018). MSC: 15A24 15A21 16T25 17B38 PDFBibTeX XMLCite \textit{D. Zhou} et al., Appl. Math. Lett. 79, 155--161 (2018; Zbl 1459.15021) Full Text: DOI
Ren, Huan; Wang, Xiang; Wang, Teng Commuting solutions of the Yang-Baxter-like matrix equation for a class of rank-two updated matrices. (English) Zbl 1425.15012 Comput. Math. Appl. 76, No. 5, 1085-1098 (2018). MSC: 15A24 16T25 65F30 PDFBibTeX XMLCite \textit{H. Ren} et al., Comput. Math. Appl. 76, No. 5, 1085--1098 (2018; Zbl 1425.15012) Full Text: DOI
Özen, Kahraman Esen; Tosun, Murat Elliptic matrix representations of elliptic biquaternions and their applications. (English) Zbl 1414.16017 Int. Electron. J. Geom. 11, No. 2, 96-103 (2018). MSC: 16H05 15B99 PDFBibTeX XMLCite \textit{K. E. Özen} and \textit{M. Tosun}, Int. Electron. J. Geom. 11, No. 2, 96--103 (2018; Zbl 1414.16017)
Baez, John C.; Courser, Kenny Coarse-graining open Markov processes. (English) Zbl 1406.18004 Theory Appl. Categ. 33, 1223-1268 (2018). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D05 18D10 60J27 16B50 PDFBibTeX XMLCite \textit{J. C. Baez} and \textit{K. Courser}, Theory Appl. Categ. 33, 1223--1268 (2018; Zbl 1406.18004) Full Text: arXiv Link
Ata, Erhan; Yıldırım, Yasemin A different polar representation for generalized and generalized dual quaternions. (English) Zbl 1446.16019 Adv. Appl. Clifford Algebr. 28, No. 4, Paper No. 77, 20 p. (2018). MSC: 16H05 70B10 70E15 PDFBibTeX XMLCite \textit{E. Ata} and \textit{Y. Yıldırım}, Adv. Appl. Clifford Algebr. 28, No. 4, Paper No. 77, 20 p. (2018; Zbl 1446.16019) Full Text: DOI
Shen, Dongmei; Wei, Musheng; Jia, Zhigang On commuting solutions of the Yang-Baxter-like matrix equation. (English) Zbl 1388.15014 J. Math. Anal. Appl. 462, No. 1, 665-696 (2018). MSC: 15A24 15A27 16T25 15B05 PDFBibTeX XMLCite \textit{D. Shen} et al., J. Math. Anal. Appl. 462, No. 1, 665--696 (2018; Zbl 1388.15014) Full Text: DOI
Zhou, Duanmei; Ding, Jiu Solving the Yang-Baxter-like matrix equation for nilpotent matrices of index three. (English) Zbl 1392.15027 Int. J. Comput. Math. 95, No. 2, 303-315 (2018). Reviewer: Mohamed Elhamdadi (Tampa) MSC: 15A24 65F15 16T25 PDFBibTeX XMLCite \textit{D. Zhou} and \textit{J. Ding}, Int. J. Comput. Math. 95, No. 2, 303--315 (2018; Zbl 1392.15027) Full Text: DOI
Mary, Xavier Weak inverses of products – Cline’s formula meets Jacobson lemma. (English) Zbl 1444.16053 J. Algebra Appl. 17, No. 4, Article ID 1850069, 19 p. (2018). MSC: 16U90 PDFBibTeX XMLCite \textit{X. Mary}, J. Algebra Appl. 17, No. 4, Article ID 1850069, 19 p. (2018; Zbl 1444.16053) Full Text: DOI
Wang, Zhou A class of Drazin inverses in rings. (English) Zbl 1499.16099 Filomat 31, No. 6, 1781-1789 (2017). MSC: 16U90 15A09 PDFBibTeX XMLCite \textit{Z. Wang}, Filomat 31, No. 6, 1781--1789 (2017; Zbl 1499.16099) Full Text: DOI
Opfer, Gerhard Niven’s algorithm applied to the roots of the companion polynomial over \(\mathbb {R}^4\) algebras. (English) Zbl 1412.16016 Adv. Appl. Clifford Algebr. 27, No. 3, 2659-2675 (2017). MSC: 16S36 12K05 15A66 65H04 65J15 PDFBibTeX XMLCite \textit{G. Opfer}, Adv. Appl. Clifford Algebr. 27, No. 3, 2659--2675 (2017; Zbl 1412.16016) Full Text: DOI
Atasoy, Ali; Ata, Erhan; Yayli, Yusuf; Kemer, Yasemin A new polar representation for split and dual split quaternions. (English) Zbl 1409.16013 Adv. Appl. Clifford Algebr. 27, No. 3, 2307-2319 (2017). MSC: 16H05 53B30 PDFBibTeX XMLCite \textit{A. Atasoy} et al., Adv. Appl. Clifford Algebr. 27, No. 3, 2307--2319 (2017; Zbl 1409.16013) Full Text: DOI
Chapman, Adam; Machen, Casey Standard polynomial equations over division algebras. (English) Zbl 1366.16014 Adv. Appl. Clifford Algebr. 27, No. 2, 1065-1072 (2017). MSC: 16K20 15A18 15B33 PDFBibTeX XMLCite \textit{A. Chapman} and \textit{C. Machen}, Adv. Appl. Clifford Algebr. 27, No. 2, 1065--1072 (2017; Zbl 1366.16014) Full Text: DOI arXiv
Mosić, Dijana Reverse order laws for the generalized strong Drazin inverses. (English) Zbl 1410.46030 Appl. Math. Comput. 284, 37-46 (2016). MSC: 46H05 15A09 16U60 PDFBibTeX XMLCite \textit{D. Mosić}, Appl. Math. Comput. 284, 37--46 (2016; Zbl 1410.46030) Full Text: DOI
Brudnyi, Alexander Shuffle and Faà di Bruno Hopf algebras in the center problem for ordinary differential equations. (English) Zbl 1362.34046 Bull. Sci. Math. 140, No. 7, 830-863 (2016). Reviewer: M. A. M. Alwash (Culver City) MSC: 34C05 34C07 16T05 34C25 PDFBibTeX XMLCite \textit{A. Brudnyi}, Bull. Sci. Math. 140, No. 7, 830--863 (2016; Zbl 1362.34046) Full Text: DOI arXiv
Aalipour, G.; Akbari, S. On the Cayley graph of a commutative ring with respect to its zero-divisors. (English) Zbl 1341.05114 Commun. Algebra 44, No. 4, 1443-1459 (2016). Reviewer: S. K. Nimbhorkar (Aurangabad) MSC: 05C25 05C15 05C40 05C45 05C69 16N40 PDFBibTeX XMLCite \textit{G. Aalipour} and \textit{S. Akbari}, Commun. Algebra 44, No. 4, 1443--1459 (2016; Zbl 1341.05114) Full Text: DOI arXiv
Amini, Afshin; Amini, Babak; Momtahan, Ehsan A conception of zero-divisor graph for categories of modules. (English) Zbl 1341.16003 J. Algebra Appl. 15, No. 1, Article ID 1650012, 14 p. (2016). MSC: 16D90 16W20 05C25 05C12 16L30 PDFBibTeX XMLCite \textit{A. Amini} et al., J. Algebra Appl. 15, No. 1, Article ID 1650012, 14 p. (2016; Zbl 1341.16003) Full Text: DOI
Davletshina, V. N. Self-adjoint commuting differential operators of rank 2 and their deformations given by soliton equations. (English. Russian original) Zbl 1318.37014 Math. Notes 97, No. 3, 333-340 (2015); translation from Mat. Zametki 97, No. 3, 350-358 (2015). MSC: 37K10 47E05 16S32 35Q53 16S80 37K40 PDFBibTeX XMLCite \textit{V. N. Davletshina}, Math. Notes 97, No. 3, 333--340 (2015; Zbl 1318.37014); translation from Mat. Zametki 97, No. 3, 350--358 (2015) Full Text: DOI
Dzhumadil’daev, Askar; Yeliussizov, Damir Path decompositions of digraphs and their applications to Weyl algebra. (English) Zbl 1314.05083 Adv. Appl. Math. 67, 36-54 (2015). MSC: 05C20 05C70 05C38 05C30 16R10 11B73 05C45 05A18 PDFBibTeX XMLCite \textit{A. Dzhumadil'daev} and \textit{D. Yeliussizov}, Adv. Appl. Math. 67, 36--54 (2015; Zbl 1314.05083) Full Text: DOI arXiv
Pumplün, S. Factoring skew polynomials over Hamilton’s quaternion algebra and the complex numbers. (English) Zbl 1360.17006 J. Algebra 427, 20-29 (2015). MSC: 17A35 12D05 16S36 30G35 PDFBibTeX XMLCite \textit{S. Pumplün}, J. Algebra 427, 20--29 (2015; Zbl 1360.17006) Full Text: DOI
Chapman, Adam Quaternion quadratic equations in characteristic 2. (English) Zbl 1329.12001 J. Algebra Appl. 14, No. 3, Article ID 1550033, 8 p. (2015). MSC: 12E12 12E15 16K20 11R52 PDFBibTeX XMLCite \textit{A. Chapman}, J. Algebra Appl. 14, No. 3, Article ID 1550033, 8 p. (2015; Zbl 1329.12001) Full Text: DOI arXiv
Xu, Wei; Feng, Lianggui; Yao, Bo Zeros of two-sided quadratic quaternion polynomials. (English) Zbl 1321.12004 Adv. Appl. Clifford Algebr. 24, No. 3, 883-902 (2014). MSC: 12E15 16K20 PDFBibTeX XMLCite \textit{W. Xu} et al., Adv. Appl. Clifford Algebr. 24, No. 3, 883--902 (2014; Zbl 1321.12004) Full Text: DOI
Bahri, Mawardi; Ashino, Ryuichi; Vaillancourt, Rémi Continuous quaternion Fourier and wavelet transforms. (English) Zbl 1301.42015 Int. J. Wavelets Multiresolut. Inf. Process. 12, No. 4, Article ID 1460003, 21 p. (2014). MSC: 42B10 42C20 42C40 16H05 30G35 PDFBibTeX XMLCite \textit{M. Bahri} et al., Int. J. Wavelets Multiresolut. Inf. Process. 12, No. 4, Article ID 1460003, 21 p. (2014; Zbl 1301.42015) Full Text: DOI
Lam, T. Y.; Nielsen, Pace P. Inner inverses and inner annihilators in rings. (English) Zbl 1327.16023 J. Algebra 397, 91-110 (2014). MSC: 16U60 16E50 15A09 16P60 16E20 16U80 PDFBibTeX XMLCite \textit{T. Y. Lam} and \textit{P. P. Nielsen}, J. Algebra 397, 91--110 (2014; Zbl 1327.16023) Full Text: DOI
Drazin, Michael P. Generalized inverses: uniqueness proofs and three new classes. (English) Zbl 1303.15005 Linear Algebra Appl. 449, 402-416 (2014). MSC: 15A09 16N20 PDFBibTeX XMLCite \textit{M. P. Drazin}, Linear Algebra Appl. 449, 402--416 (2014; Zbl 1303.15005) Full Text: DOI
Kalantari, Bahman Algorithms for quaternion polynomial root-finding. (English) Zbl 1326.65060 J. Complexity 29, No. 3-4, 302-322 (2013). MSC: 65H04 68W30 16Z05 PDFBibTeX XMLCite \textit{B. Kalantari}, J. Complexity 29, No. 3--4, 302--322 (2013; Zbl 1326.65060) Full Text: DOI
Baziar, M.; Momtahan, E.; Safaeeyan, S. A zero-divisor graph for modules with respect to their (first) dual. (English) Zbl 1259.05073 J. Algebra Appl. 12, No. 2, Paper No. 1250151, 11 p. (2013). MSC: 05C25 05C38 05C40 05C15 16D10 16D40 PDFBibTeX XMLCite \textit{M. Baziar} et al., J. Algebra Appl. 12, No. 2, Paper No. 1250151, 11 p. (2013; Zbl 1259.05073) Full Text: DOI
Mary, Xavier; Patrício, Pedro The inverse along a lower triangular matrix. (English) Zbl 1287.15001 Appl. Math. Comput. 219, No. 3, 886-891 (2012). MSC: 15A09 16U60 16E50 PDFBibTeX XMLCite \textit{X. Mary} and \textit{P. Patrício}, Appl. Math. Comput. 219, No. 3, 886--891 (2012; Zbl 1287.15001) Full Text: DOI Link
Zhuang, Guifen; Chen, Jianlong; Cui, Jian Jacobson’s lemma for the generalized Drazin inverse. (English) Zbl 1231.15008 Linear Algebra Appl. 436, No. 3, 742-746 (2012). Reviewer: Qing-Wen Wang (Shanghai) MSC: 15A09 16S10 PDFBibTeX XMLCite \textit{G. Zhuang} et al., Linear Algebra Appl. 436, No. 3, 742--746 (2012; Zbl 1231.15008) Full Text: DOI
Wang, Qingwen; van der Woude, J. W.; Yu, Shaowen An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications. (English) Zbl 1218.15008 Sci. China, Math. 54, No. 5, 907-924 (2011). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A21 15A22 15A24 15B33 15A03 16K20 65F30 94A08 PDFBibTeX XMLCite \textit{Q. Wang} et al., Sci. China, Math. 54, No. 5, 907--924 (2011; Zbl 1218.15008) Full Text: DOI
Ebadian, A.; Ghobadipour, N.; Eshaghi Gordji, M. A fixed point method for perturbation of bimultipliers and Jordan bimultipliers in \(C^*\)-ternary algebras. (English) Zbl 1314.46063 J. Math. Phys. 51, No. 10, 103508, 10 p. (2010). MSC: 46K70 47H14 47A55 46L05 16W10 17A15 17A40 17C65 PDFBibTeX XMLCite \textit{A. Ebadian} et al., J. Math. Phys. 51, No. 10, 103508, 10 p. (2010; Zbl 1314.46063) Full Text: DOI
Tang, Jian-Gang; Luo, Mao-Kang; Liu, Miao Free object in the category of \(L\)-fuzzy left \(R\)-modules determined by \(L\)-fuzzy set. (English) Zbl 1197.93043 Kybernetes 38, No. 3-4, 506-512 (2009). MSC: 93A10 93C42 16Y99 PDFBibTeX XMLCite \textit{J.-G. Tang} et al., Kybernetes 38, No. 3--4, 506--512 (2009; Zbl 1197.93043) Full Text: DOI
Topuridze, N. On roots of quaternion polynomials. (English. Russian original) Zbl 1243.16022 J. Math. Sci., New York 160, No. 6, 843-855 (2009); translation from Sovrem. Mat. Prilozh. 59 (2008). Reviewer: S. V. Mihovski (Plovdiv) MSC: 16K20 30G35 30C15 12E15 12E12 PDFBibTeX XMLCite \textit{N. Topuridze}, J. Math. Sci., New York 160, No. 6, 843--855 (2009; Zbl 1243.16022); translation from Sovrem. Mat. Prilozh. 59 (2008) Full Text: DOI
Abrate, Marco Quadratic formulas for generalized quaternions. (English) Zbl 1210.15015 J. Algebra Appl. 8, No. 3, 289-306 (2009). MSC: 15A24 12E12 15B33 16K20 12E15 PDFBibTeX XMLCite \textit{M. Abrate}, J. Algebra Appl. 8, No. 3, 289--306 (2009; Zbl 1210.15015) Full Text: DOI
Gentili, Graziano; Stoppato, Caterina Zeros of regular functions and polynomials of a quaternionic variable. (English) Zbl 1184.30048 Mich. Math. J. 56, No. 3, 655-667 (2008). Reviewer: Regina Almeida (Vila Real) MSC: 30G35 30C15 16K99 PDFBibTeX XMLCite \textit{G. Gentili} and \textit{C. Stoppato}, Mich. Math. J. 56, No. 3, 655--667 (2008; Zbl 1184.30048) Full Text: DOI
Wang, Qingwen; Chang, Haixia; Lin, Chunyan On the centro-symmetric solution of a system of matrix equations over a regular ring with identity. (English) Zbl 1143.15013 Algebra Colloq. 14, No. 4, 555-570 (2007). Reviewer: Václav Burjan (Praha) MSC: 15A24 15B33 15B57 15A09 16E50 PDFBibTeX XMLCite \textit{Q. Wang} et al., Algebra Colloq. 14, No. 4, 555--570 (2007; Zbl 1143.15013) Full Text: DOI
Cvetković-Ilić, D.; Dajić, Alegra; Koliha, J. J. Positive and real-positive solutions to the equation \(axa^*=c\) in \(C^*\)-algebras. (English) Zbl 1180.47014 Linear Multilinear Algebra 55, No. 6, 535-543 (2007). Reviewer: Yiu Tung Poon (Ames) MSC: 47A62 16W10 15A24 PDFBibTeX XMLCite \textit{D. Cvetković-Ilić} et al., Linear Multilinear Algebra 55, No. 6, 535--543 (2007; Zbl 1180.47014) Full Text: DOI
Huang, Liping; Liu, Zhuojun Similarity reduction of matrix over a quaternion division ring. (English) Zbl 1128.15009 Linear Algebra Appl. 427, No. 2-3, 317-332 (2007). Reviewer: Grosio Stanilov (Sofia) MSC: 15B33 15A04 16K20 15B57 15A21 PDFBibTeX XMLCite \textit{L. Huang} and \textit{Z. Liu}, Linear Algebra Appl. 427, No. 2--3, 317--332 (2007; Zbl 1128.15009) Full Text: DOI
Cooke, C. H. Linear circulant matrices over a finite field. (English) Zbl 1072.15023 Appl. Math. Lett. 17, No. 12, 1349-1355 (2004). Reviewer: A. A. Bogush (Minsk) MSC: 15B33 94B05 15A30 16D25 39A10 PDFBibTeX XMLCite \textit{C. H. Cooke}, Appl. Math. Lett. 17, No. 12, 1349--1355 (2004; Zbl 1072.15023) Full Text: DOI
Wood, Jeffrey Key problems in the extension of module-behaviour duality. (English) Zbl 1096.93015 Linear Algebra Appl. 351-352, 761-798 (2002). Reviewer: Nikolai I. Osetinski (Moskva) MSC: 93C05 13A99 16D99 93B25 PDFBibTeX XMLCite \textit{J. Wood}, Linear Algebra Appl. 351--352, 761--798 (2002; Zbl 1096.93015) Full Text: DOI