Cooney, Nicholas; Ganev, Iordan; Jordan, David Quantum Weyl algebras and reflection equation algebras at a root of unity. (English) Zbl 07299911 J. Pure Appl. Algebra 224, No. 12, Article ID 106440, 14 p. (2020). MSC: 16H05 16S32 16T20 17B37 PDF BibTeX XML Cite \textit{N. Cooney} et al., J. Pure Appl. Algebra 224, No. 12, Article ID 106440, 14 p. (2020; Zbl 07299911) Full Text: DOI
Fish, Christopher D.; Jordan, David A. Prime spectra of ambiskew polynomial rings. (English) Zbl 1445.16024 Glasg. Math. J. 61, No. 1, 49-68 (2019). MSC: 16S36 16D25 16D30 16N60 16W20 16W25 16U20 PDF BibTeX XML Cite \textit{C. D. Fish} and \textit{D. A. Jordan}, Glasg. Math. J. 61, No. 1, 49--68 (2019; Zbl 1445.16024) Full Text: DOI arXiv
Fish, Christopher D.; Jordan, David A. Connected quantized Weyl algebras and quantum cluster algebras. (English) Zbl 1417.16030 J. Pure Appl. Algebra 222, No. 8, 2374-2412 (2018). MSC: 16S36 13F60 16D30 16N60 16W20 17B63 PDF BibTeX XML Cite \textit{C. D. Fish} and \textit{D. A. Jordan}, J. Pure Appl. Algebra 222, No. 8, 2374--2412 (2018; Zbl 1417.16030) Full Text: DOI arXiv
Iyer, Uma N.; Jordan, David A. Noetherian algebras of quantum differential operators. (English) Zbl 1339.16027 Algebr. Represent. Theory 18, No. 6, 1593-1622 (2015). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16S32 16S36 16P50 PDF BibTeX XML Cite \textit{U. N. Iyer} and \textit{D. A. Jordan}, Algebr. Represent. Theory 18, No. 6, 1593--1622 (2015; Zbl 1339.16027) Full Text: DOI arXiv
Jordan, David A.; Oh, Sei-Qwon Poisson spectra in polynomial algebras. (English) Zbl 1351.17023 J. Algebra 400, 56-71 (2014). MSC: 17B63 16S36 PDF BibTeX XML Cite \textit{D. A. Jordan} and \textit{S.-Q. Oh}, J. Algebra 400, 56--71 (2014; Zbl 1351.17023) Full Text: DOI arXiv
Jordan, David A. Ore extensions and Poisson algebras. (English) Zbl 1372.16025 Glasg. Math. J. 56, No. 2, 355-368 (2014). MSC: 16S36 13N15 17B63 PDF BibTeX XML Cite \textit{D. A. Jordan}, Glasg. Math. J. 56, No. 2, 355--368 (2014; Zbl 1372.16025) Full Text: DOI arXiv
Jordan, David A.; Wells, Imogen E. Simple ambiskew polynomial rings. (English) Zbl 1287.16024 J. Algebra 382, 46-70 (2013). MSC: 16S36 16W25 16D60 PDF BibTeX XML Cite \textit{D. A. Jordan} and \textit{I. E. Wells}, J. Algebra 382, 46--70 (2013; Zbl 1287.16024) Full Text: DOI arXiv
Jordan, David A.; Oh, Sei-Qwon Poisson brackets and Poisson spectra in polynomial algebras. (English) Zbl 1273.17027 Ara, P. (ed.) et al., New trends in noncommutative algebra. A conference in honor of Ken Goodearl’s 65th birthday, Washington, Seattle, WA, USA, August 9–14, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5297-2). Contemporary Mathematics 562, 169-187 (2012). MSC: 17B63 13N15 16S36 16W25 PDF BibTeX XML Cite \textit{D. A. Jordan} and \textit{S.-Q. Oh}, Contemp. Math. 562, 169--187 (2012; Zbl 1273.17027) Full Text: DOI arXiv
Jordan, David A. Finite-dimensional simple Poisson modules. (English) Zbl 1239.17019 Algebr. Represent. Theory 13, No. 1, 79-101 (2010). Reviewer: Panagiotis Batakidis (Nicosia) MSC: 17B63 16D60 16S80 16W22 PDF BibTeX XML Cite \textit{D. A. Jordan}, Algebr. Represent. Theory 13, No. 1, 79--101 (2010; Zbl 1239.17019) Full Text: DOI
Jordan, David A.; Sasom, Nongkhran Reversible skew Laurent polynomial rings and deformations of Poisson automorphisms. (English) Zbl 1188.16022 J. Algebra Appl. 8, No. 5, 733-757 (2009). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 16S36 16W20 17B63 16S80 16W22 16W10 PDF BibTeX XML Cite \textit{D. A. Jordan} and \textit{N. Sasom}, J. Algebra Appl. 8, No. 5, 733--757 (2009; Zbl 1188.16022) Full Text: DOI arXiv
Jordan, C. R.; Jordan, D. A.; Jordan, Jonathan H. Reversible complex Hénon maps. (English) Zbl 1117.32300 Exp. Math. 11, No. 3, 339-347 (2002). MSC: 32H50 37C25 37F10 37F45 PDF BibTeX XML Cite \textit{C. R. Jordan} et al., Exp. Math. 11, No. 3, 339--347 (2002; Zbl 1117.32300) Full Text: DOI Euclid EuDML
Jordan, David A. Normal elements of degree one in Ore extensions. (English) Zbl 1010.16024 Commun. Algebra 30, No. 2, 803-807 (2002). Reviewer: Kenneth A.Brown (Glasgow) MSC: 16S36 17B37 PDF BibTeX XML Cite \textit{D. A. Jordan}, Commun. Algebra 30, No. 2, 803--807 (2002; Zbl 1010.16024) Full Text: DOI
Jordan, David A. The graded algebra generated by two Eulerian derivatives. (English) Zbl 1014.16026 Algebr. Represent. Theory 4, No. 3, 249-275 (2001). Reviewer: Vyacheslav A.Artamonov (Moskva) MSC: 16S32 16W50 16S15 16P40 PDF BibTeX XML Cite \textit{D. A. Jordan}, Algebr. Represent. Theory 4, No. 3, 249--275 (2001; Zbl 1014.16026) Full Text: DOI
Bavula, V. V.; Jordan, D. A. Isomorphism problems and groups of automorphisms for generalized Weyl algebras. (English) Zbl 0961.16016 Trans. Am. Math. Soc. 353, No. 2, 769-794 (2001). Reviewer: Vyacheslav A.Artamonov (Moskva) MSC: 16S36 16W20 16W35 PDF BibTeX XML Cite \textit{V. V. Bavula} and \textit{D. A. Jordan}, Trans. Am. Math. Soc. 353, No. 2, 769--794 (2001; Zbl 0961.16016) Full Text: DOI
Jordan, David A. Graded algebras generated by Eulerian derivatives. (English) Zbl 0967.16008 Bahturin, Yu. (ed.), Algebra. Proceedings of the international algebraic conference on the occasion of the 90th birthday of A. G. Kurosh, Moscow, Russia, May 25-30, 1998. Berlin: Walter de Gruyter. 145-153 (2000). Reviewer: Kenneth R.Goodearl (Santa Barbara) MSC: 16P40 16W50 16S36 16S32 16S15 16W60 PDF BibTeX XML Cite \textit{D. A. Jordan}, in: Algebra. Proceedings of the international algebraic conference on the occasion of the 90th birthday of A. G. Kurosh, Moscow, Russia, May 25--30, 1998. Berlin: Walter de Gruyter. 145--153 (2000; Zbl 0967.16008)
Jordan, David A. Down-up algebras and ambiskew polynomial rings. (English) Zbl 0958.16030 J. Algebra 228, No. 1, 311-346 (2000). Reviewer: K.R.Goodearl (Santa Barbara) MSC: 16S36 16P40 16D60 16D25 PDF BibTeX XML Cite \textit{D. A. Jordan}, J. Algebra 228, No. 1, 311--346 (2000; Zbl 0958.16030) Full Text: DOI
Jordan, David A. On the simplicity of Lie algebras of derivations of commutative algebras. (English) Zbl 0982.17009 J. Algebra 228, No. 2, 580-585 (2000). Reviewer: Gordon Brown (Boulder) MSC: 17B40 17B20 17B60 PDF BibTeX XML Cite \textit{D. A. Jordan}, J. Algebra 228, No. 2, 580--585 (2000; Zbl 0982.17009) Full Text: DOI
Akhavizadegan, M.; Jordan, D. A. Prime ideals of quantized Weyl algebras. (English) Zbl 0881.16012 Glasg. Math. J. 38, No. 3, 283-297 (1996). Reviewer: K.R.Goodearl (Santa Barbara) MSC: 16P40 16D25 17B37 16S36 PDF BibTeX XML Cite \textit{M. Akhavizadegan} and \textit{D. A. Jordan}, Glasg. Math. J. 38, No. 3, 283--297 (1996; Zbl 0881.16012) Full Text: DOI
Jordan, David A. Iterated skew polynomial rings and simple modules. (English) Zbl 0874.16021 Arslanov, M. M. (ed.) et al., Algebra and analysis. Proceedings of the international centennial Chebotarev conference, Kazan, Russia, June 5-11, 1994. Berlin: Walter de Gruyter. 57-73 (1996). Reviewer: M.Lorenz (Philadelphia) MSC: 16S36 16D60 16W30 17B37 PDF BibTeX XML Cite \textit{D. A. Jordan}, in: Algebra and analysis. Proceedings of the international centennial Chebotarev conference, Kazan, Russia, June 5-11, 1994. Berlin: Walter de Gruyter. 57--73 (1996; Zbl 0874.16021)
Jordan, David A.; Wells, Imogen E. Invariants for automorphisms of certain iterated skew polynomial rings. (English) Zbl 0864.16027 Proc. Edinb. Math. Soc., II. Ser. 39, No. 3, 461-472 (1996). Reviewer: M.Lorenz (Philadelphia) MSC: 16S36 16W20 17B37 16G30 PDF BibTeX XML Cite \textit{D. A. Jordan} and \textit{I. E. Wells}, Proc. Edinb. Math. Soc., II. Ser. 39, No. 3, 461--472 (1996; Zbl 0864.16027) Full Text: DOI
Dumas, François; Jordan, David A. The \(2\times 2\) quantum matrix Weyl algebra. (English) Zbl 0851.16025 Commun. Algebra 24, No. 4, 1409-1434 (1996). Reviewer: K.R.Goodearl (Santa Barbara) MSC: 16S36 17B37 16D25 16P40 16P50 16P60 PDF BibTeX XML Cite \textit{F. Dumas} and \textit{D. A. Jordan}, Commun. Algebra 24, No. 4, 1409--1434 (1996; Zbl 0851.16025) Full Text: DOI
Jordan, David A. A simple localization of the quantized Weyl algebra. (English) Zbl 0833.16025 J. Algebra 174, No. 1, 267-281 (1995). Reviewer: M.Lorenz (Philadelphia) MSC: 16S36 16S90 16P60 17B37 16S20 16D60 PDF BibTeX XML Cite \textit{D. A. Jordan}, J. Algebra 174, No. 1, 267--281 (1995; Zbl 0833.16025) Full Text: DOI
Jordan, David A. Finite-dimensional simple modules over certain iterated skew polynomial rings. (English) Zbl 0829.16017 J. Pure Appl. Algebra 98, No. 1, 45-55 (1995). Reviewer: K.R.Goodearl (Santa Barbara) MSC: 16S36 16D60 17B37 17B35 16S30 PDF BibTeX XML Cite \textit{D. A. Jordan}, J. Pure Appl. Algebra 98, No. 1, 45--55 (1995; Zbl 0829.16017) Full Text: DOI
Jordan, David A. Primitivity in skew Laurent polynomial rings and related rings. (English) Zbl 0797.16037 Math. Z. 213, No. 3, 353-371 (1993). Reviewer: D.A.Jordan (Sheffield) MSC: 16S36 16D60 16S32 16S34 16W20 PDF BibTeX XML Cite \textit{D. A. Jordan}, Math. Z. 213, No. 3, 353--371 (1993; Zbl 0797.16037) Full Text: DOI EuDML
Jordan, David A. Height one prime ideals of certain iterated skew polynomial rings. (English) Zbl 0804.16028 Math. Proc. Camb. Philos. Soc. 114, No. 3, 407-425 (1993). Reviewer: A.W.Chatters (Bristol) MSC: 16S36 16D25 16U20 16D60 PDF BibTeX XML Cite \textit{D. A. Jordan}, Math. Proc. Camb. Philos. Soc. 114, No. 3, 407--425 (1993; Zbl 0804.16028) Full Text: DOI
Jordan, David A. Iterated skew polynomial rings and quantum groups. (English) Zbl 0809.16032 J. Algebra 156, No. 1, 194-218 (1993). Reviewer: W.M.McGovern (Seattle) MSC: 16S36 17B37 16D60 16W30 PDF BibTeX XML Cite \textit{D. A. Jordan}, J. Algebra 156, No. 1, 194--218 (1993; Zbl 0809.16032) Full Text: DOI
Jordan, David A. Iterated skew polynomial rings of Krull dimension two. (English) Zbl 0809.16031 Arch. Math. 61, No. 4, 344-347 (1993). Reviewer: A.K.Boyle (Washington) MSC: 16S36 16P60 16D60 16P10 PDF BibTeX XML Cite \textit{D. A. Jordan}, Arch. Math. 61, No. 4, 344--347 (1993; Zbl 0809.16031) Full Text: DOI
Jordan, David A. Zero-divisors in completions of non-commutative rings. (English) Zbl 0784.16025 Isr. J. Math. 80, No. 3, 351-358 (1992). Reviewer: A.W.Chatters (Bristol) MSC: 16W60 16P40 16S36 PDF BibTeX XML Cite \textit{D. A. Jordan}, Isr. J. Math. 80, No. 3, 351--358 (1992; Zbl 0784.16025) Full Text: DOI
Jordan, David A. Krull and global dimension of certain iterated skew polynomial rings. (English) Zbl 0779.16011 Abelian groups and noncommutative rings, Collect. Pap. in Mem. of R. B. Warfield jun., Contemp. Math. 130, 201-213 (1992). Reviewer: M.P.Holland (Sheffield) MSC: 16S36 16E10 16P60 16S30 PDF BibTeX XML Cite \textit{D. A. Jordan}, Contemp. Math. 130, 201--213 (1992; Zbl 0779.16011)
Jordan, D. A. Some examples of noncommutative local rings. (English) Zbl 0693.16005 Glasg. Math. J. 32, No. 1, 79-86 (1990). Reviewer: A.W.Chatters MSC: 16L30 16Dxx 16P40 16U10 16W60 PDF BibTeX XML Cite \textit{D. A. Jordan}, Glasg. Math. J. 32, No. 1, 79--86 (1990; Zbl 0693.16005) Full Text: DOI
Jordan, D. A. Unique factorization of normal elements in non-commutative rings. (English) Zbl 0672.16001 Glasg. Math. J. 31, No. 1, 103-113 (1989). Reviewer: A.W.Chatters MSC: 16U10 16N60 16P40 16Dxx PDF BibTeX XML Cite \textit{D. A. Jordan}, Glasg. Math. J. 31, No. 1, 103--113 (1989; Zbl 0672.16001) Full Text: DOI
Jordan, D. A. Unique factorisation of normal elements in polynomial rings. (English) Zbl 0662.16004 Proc. R. Soc. Edinb., Sect. A 110, No. 3-4, 241-247 (1988). Reviewer: A.W.Chatters MSC: 16N60 16P40 16U10 PDF BibTeX XML Cite \textit{D. A. Jordan}, Proc. R. Soc. Edinb., Sect. A, Math. 110, No. 3--4, 241--247 (1988; Zbl 0662.16004) Full Text: DOI
Jordan, D. A. Normalizing sequences and completions of noncommutative Noetherian rings. (English) Zbl 0649.16013 Bull. Lond. Math. Soc. 20, No. 3, 228-234 (1988). Reviewer: K.A.Brown MSC: 16P40 16Dxx 16P50 PDF BibTeX XML Cite \textit{D. A. Jordan}, Bull. Lond. Math. Soc. 20, No. 3, 228--234 (1988; Zbl 0649.16013) Full Text: DOI
Goodearl, Kenneth R.; Jordan, D. A. Localizations of essential extensions. (English) Zbl 0619.16001 Proc. Edinb. Math. Soc., II. Ser. 31, No. 2, 243-247 (1988). MSC: 16P50 16P40 16S20 16D50 PDF BibTeX XML Cite \textit{K. R. Goodearl} and \textit{D. A. Jordan}, Proc. Edinb. Math. Soc., II. Ser. 31, No. 2, 243--247 (1988; Zbl 0619.16001) Full Text: DOI
Jordan, D. A. Normal elements and completions of non-commutative Noetherian rings. (English) Zbl 0627.16013 Bull. Lond. Math. Soc. 19, 417-424 (1987). Reviewer: A.W.Chatters MSC: 16P40 16P50 16Dxx PDF BibTeX XML Cite \textit{D. A. Jordan}, Bull. Lond. Math. Soc. 19, 417--424 (1987; Zbl 0627.16013) Full Text: DOI
Chatters, A. W.; Jordan, D. A. Non-commutative unique factorization rings. (English) Zbl 0601.16001 J. Lond. Math. Soc., II. Ser. 33, 22-32 (1986). Reviewer: H.-H.Brungs MSC: 16U10 16W60 16P40 16P50 16N60 17B35 16Dxx PDF BibTeX XML Cite \textit{A. W. Chatters} and \textit{D. A. Jordan}, J. Lond. Math. Soc., II. Ser. 33, 22--32 (1986; Zbl 0601.16001) Full Text: DOI
Jordan, D. A. On the ideals of a Lie algebra of derivations. (English) Zbl 0591.17007 J. Lond. Math. Soc., II. Ser. 33, 33-39 (1986). Reviewer: E.W.Wallace MSC: 17B20 17B40 PDF BibTeX XML Cite \textit{D. A. Jordan}, J. Lond. Math. Soc., II. Ser. 33, 33--39 (1986; Zbl 0591.17007) Full Text: DOI
Goodearl, Kenneth R.; Jordan, D. A. Localization of injective modules. (English) Zbl 0562.16013 Proc. Edinb. Math. Soc., II. Ser. 28, 289-299 (1985). MSC: 16D50 16P50 16P40 16P60 16E10 PDF BibTeX XML Cite \textit{K. R. Goodearl} and \textit{D. A. Jordan}, Proc. Edinb. Math. Soc., II. Ser. 28, 289--299 (1985; Zbl 0562.16013) Full Text: DOI
Jordan, D. A. Simple skew Laurent polynomial rings. (English) Zbl 0534.16001 Commun. Algebra 12, 135-137 (1984). Reviewer: T.H.Lenagan MSC: 16W60 16D30 16W20 PDF BibTeX XML Cite \textit{D. A. Jordan}, Commun. Algebra 12, 135--137 (1984; Zbl 0534.16001) Full Text: DOI
Jordan, D. A. Bijective extensions of injective ring endomorphisms. (English) Zbl 0486.16002 J. Lond. Math. Soc., II. Ser. 25, 435-448 (1982). MSC: 16W60 16S20 16P50 PDF BibTeX XML Cite \textit{D. A. Jordan}, J. Lond. Math. Soc., II. Ser. 25, 435--448 (1982; Zbl 0486.16002) Full Text: DOI
Jordan, D. A. Differentially simple rings with no invertible derivatives. (English) Zbl 0471.13014 Q. J. Math., Oxf. II. Ser. 32, 417-424 (1981). MSC: 13N05 13B10 13F20 PDF BibTeX XML Cite \textit{D. A. Jordan}, Q. J. Math., Oxf. II. Ser. 32, 417--424 (1981; Zbl 0471.13014) Full Text: DOI
Jordan, D. A. A left Noetherian, right Ore domain which is not right Noetherian. (English) Zbl 0433.16001 Bull. Lond. Math. Soc. 12, 202-204 (1980). MSC: 16W60 16N60 16P40 16P60 PDF BibTeX XML Cite \textit{D. A. Jordan}, Bull. Lond. Math. Soc. 12, 202--204 (1980; Zbl 0433.16001) Full Text: DOI
Jordan, D. A. The Lie ring of symmetric derivations of a ring with involution. (English) Zbl 0429.16010 J. Aust. Math. Soc., Ser. A 29, 153-161 (1980). MSC: 16W10 16W20 16N60 17B60 PDF BibTeX XML Cite \textit{D. A. Jordan}, J. Aust. Math. Soc., Ser. A 29, 153--161 (1980; Zbl 0429.16010)
Jordan, C. R.; Jordan, D. A. The Lie structure of a commutative ring with a derivation. (English) Zbl 0406.16022 J. Lond. Math. Soc., II. Ser. 18, 39-49 (1978). MSC: 16W10 16W20 16N60 13B10 13N05 PDF BibTeX XML Cite \textit{C. R. Jordan} and \textit{D. A. Jordan}, J. Lond. Math. Soc., II. Ser. 18, 39--49 (1978; Zbl 0406.16022) Full Text: DOI
Jordan, D. A. Simple Lie rings of derivations of commutative rings. (English) Zbl 0404.17009 J. Lond. Math. Soc., II. Ser. 18, 443-448 (1978). MSC: 17B60 16W10 PDF BibTeX XML Cite \textit{D. A. Jordan}, J. Lond. Math. Soc., II. Ser. 18, 443--448 (1978; Zbl 0404.17009) Full Text: DOI
Jordan, C. R.; Jordan, D. A. Lie rings of derivations of associative rings. (English) Zbl 0387.16016 J. Lond. Math. Soc., II. Ser. 17, 33-41 (1978). MSC: 16W10 16W20 16Dxx 17B60 13B10 PDF BibTeX XML Cite \textit{C. R. Jordan} and \textit{D. A. Jordan}, J. Lond. Math. Soc., II. Ser. 17, 33--41 (1978; Zbl 0387.16016) Full Text: DOI
Jordan, D. A. Primitive skew Laurent polynomial rings. (English) Zbl 0374.16004 Glasg. Math. J. 19, 79-85 (1978). MSC: 16D60 16W20 PDF BibTeX XML Cite \textit{D. A. Jordan}, Glasg. Math. J. 19, 79--85 (1978; Zbl 0374.16004) Full Text: DOI
Jordan, D. A. Primitive Ore extensions. (English) Zbl 0347.16020 Glasg. Math. J. 18, 93-97 (1977). MSC: 16W20 16D60 17B35 PDF BibTeX XML Cite \textit{D. A. Jordan}, Glasg. Math. J. 18, 93--97 (1977; Zbl 0347.16020) Full Text: DOI
Jordan, C. R.; Jordan, D. A. A note on semiprimitivity of Ore extensions. (English) Zbl 0328.16001 Commun. Algebra 4, 647-656 (1976). MSC: 16U30 16W20 16D60 PDF BibTeX XML Cite \textit{C. R. Jordan} and \textit{D. A. Jordan}, Commun. Algebra 4, 647--656 (1976; Zbl 0328.16001) Full Text: DOI
Jordan, D. A. Noetherian Ore extensions and Jacobson rings. (English) Zbl 0313.16011 J. Lond. Math. Soc., II. Ser. 10, 281-291 (1975). MSC: 16Nxx 16W10 16W20 PDF BibTeX XML Cite \textit{D. A. Jordan}, J. Lond. Math. Soc., II. Ser. 10, 281--291 (1975; Zbl 0313.16011) Full Text: DOI