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Parmenter, Michael M.

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Author ID: parmenter.michael-m Recent zbMATH articles by "Parmenter, Michael M."
Published as: Parmenter, M.; Parmenter, M. M.; Parmenter, Michael; Parmenter, Michael M.
External Links: MGP · Wikidata · GND
Documents Indexed: 83 Publications since 1971, including 2 Books

Publications by Year

Citations contained in zbMATH Open

57 Publications have been cited 345 times in 253 Documents Cited by Year
On the normalizer property for integral group rings. Zbl 0943.16012
Li, Yuanlin; Sehgal, S. K.; Parmenter, M. M.
27
1999
The strongly prime radical of crossed products. Zbl 0538.16005
Parmenter, M. M.; Passman, D. S.; Stewart, P. N.
27
1984
Excellent extensions. Zbl 0642.16022
Parmenter, M. M.; Stewart, P. N.
24
1988
Central units of integral group rings of nilpotent groups. Zbl 0846.16028
Jespers, E.; Parmenter, M. M.; Sehgal, S. K.
23
1996
On the Groenewald-Heyman strongly prime radical. Zbl 0554.16005
Parmenter, M. M.; Stewart, P. N.; Wiegandt, R.
14
1984
Units of group rings of groups of order 16. Zbl 0798.16019
Jespers, E.; Parmenter, M. M.
12
1993
Units in alternative loop rings. Zbl 0594.17016
Goodaire, Edgar G.; Parmenter, M. M.
12
1986
On \(*\)-clean group rings. Zbl 1318.16024
Li, Yuanlin; Parmenter, M. M.; Yuan, Pingzhi
9
2015
Hypercentral units in integral group rings. Zbl 0968.16015
Li, Yuanlin; Parmenter, M. M.
9
2001
Idempotent elements and ideals in group rings and the intersection theorem. Zbl 0291.20008
Parmenter, M. M.; Sehgal, S. K.
9
1973
Reversible group rings over commutative rings. Zbl 1134.16009
Li, Yuanlin; Parmenter, M. M.
8
2007
Semi-simplicity of alternative loop rings. Zbl 0634.17014
Goodaire, E. G.; Parmenter, M. M.
8
1987
Group rings with solvable n-Engel unit groups. Zbl 0341.16001
Fisher, J. L.; Parmenter, M. M.; Sehgal, S. K.
8
1976
Isomorphic group rings. Zbl 0331.16009
Parmenter, M. M.
8
1975
Free torsion-free normal complements in integral group rings. Zbl 0788.16025
Parmenter, M. M.
7
1993
Bicyclic units in \(\mathbb{Z} S_ 3\). Zbl 0789.16023
Jespers, E.; Parmenter, M. M.
7
1992
Polynomial ideals in group rings. Zbl 0279.16004
Parmenter, M. M.; Passi, I. B. S.; Sehgal, S. K.
7
1973
A basis for powers of the augmentation ideal. Zbl 0979.16015
Parmenter, M. M.
6
2001
Discrete mathematics with graph theory. Zbl 0946.05001
Goodaire, Edgar G.; Parmenter, Michael M.
6
1998
Central units of the integral group ring \(\mathbb{Z} A_ 5\). Zbl 0866.16021
Li, Yuanlin; Parmenter, M. M.
6
1997
Bicyclic and Bass cyclic units in group rings. Zbl 0804.16037
Jespers, E.; Leal, G.; Parmenter, M. M.
6
1993
A note on Jacobson rings and polynomial rings. Zbl 0672.16004
Ferrero, Miguel; Parmenter, Michael M.
6
1989
Construction of central units in integral group rings of finite groups. Zbl 1246.16028
Jespers, Eric; Parmenter, M. M.
5
2012
Trivial units for group rings with \(G\)-adapted coefficient rings. Zbl 1080.16026
Herman, Allen; Li, Yuanlin; Parmenter, M. M.
5
2005
Multiplicative Jordan decomposition in integral group rings of groups of order 16. Zbl 1018.20005
Parmenter, M. M.
5
2002
Directoids and directed groups. Zbl 0832.06005
Gardner, B. J.; Parmenter, M. M.
5
1995
Exact covering systems for groups. Zbl 0593.20023
Parmenter, M. M.
5
1984
Some results on hypercentral units in integral group rings. Zbl 1034.16037
Li, Yuanlin; Parmenter, M. M.
4
2003
Stably free modules over rings of generalised integer quaternions. Zbl 0841.16022
Chatters, A. W.; Parmenter, M. M.
4
1995
Unitary units in group rings of groups of order \(16\). Zbl 0833.16034
Parmenter, M. M.
4
1994
Automorphisms of the integral group ring of the wreath product of a \(p\)- group with \(S_ n\), the case \(n=2\). Zbl 0809.16041
Parmenter, M. M.; Sehgal, Sudarshan K.
4
1993
Torsion-free normal complements in unit groups of integral group rings. Zbl 0715.16011
Parmenter, M. M.
4
1990
Uniqueness of the coefficient ring in some group rings. Zbl 0293.16014
Parmenter, M.; Sehgal, S.
4
1973
Groups with restricted squaring properties. Zbl 1258.20020
Eddy, Terry; Parmenter, M. M.
3
2012
On groups with redundacy in multiplication. Zbl 1072.20505
Parmenter, M. M.
3
2002
Algebraic properties of necklace rings. Zbl 0922.16016
Parmenter, M. M.; Spiegel, E.
3
1998
Isomorphic incidence algebras. Zbl 0723.06005
Parmenter, M. M.; Schmerl, J.; Spiegel, E.
3
1990
Determining units in some integral group rings. Zbl 0718.16026
Goodaire, E. G.; Jespers, E.; Parmenter, M. M.
3
1990
Units and isomorphism in group rings. Zbl 0583.16010
Parmenter, M. M.
3
1985
Isomorphic group rings with non-isomorphic coefficient rings. Zbl 0434.16010
Grünenfelder, L.; Parmenter, M. M.
3
1980
On a theorem of Bovdi. Zbl 0238.20043
Parmenter, M. M.
3
1971
Group gradings on integral group rings. Zbl 1102.16026
Bahturin, Yuri A.; Parmenter, Michael M.
2
2006
The upper central series of the unit group of an integral group ring. Zbl 1078.16029
Li, Yuanlin; Parmenter, M. M.
2
2005
Generalized commutativity in group algebras. Zbl 1032.16023
Bahturin, Yu. A.; Parmenter, M. M.
2
2003
Central units in integral group rings. Zbl 0931.16017
Parmenter, M. M.
2
1999
Conjugates of units in integral group rings. Zbl 0840.16027
Parmenter, M. M.
2
1995
Group rings whose units form a nilpotent or FC group. Zbl 0397.16012
Parmenter, M. M.; Polcino Milies, Cesar
2
1978
Non-archimedean group algebras. Zbl 0333.16010
Parmenter, M. M.; Sehgal, S. K.
2
1975
Hypercentral units in alternative loop rings. Zbl 1064.17016
Goodaire, Edgar G.; Li, Yuanlin; Parmenter, Michael M.
1
2005
Finitely \(\Sigma\)-CS property of excellent extensions of rings. Zbl 1036.16023
Parmenter, M. M.; Zhou, Yiqiang
1
2003
Relative injectivity of modules and excellent extensions. Zbl 0937.16039
Parmenter, M. M.; Zhou, Yiqiang
1
1999
The periodic radical of group rings and incidence algebras. Zbl 0919.16014
Parmenter, M. M.; Spiegel, E.; Stewart, P. N.
1
1998
Revisiting a theorem of Higman. Zbl 0841.16035
Jespers, E.; Parmenter, M. M.; Smith, P. F.
1
1995
Finite coverings by cosets of normal subgroups. Zbl 0723.20016
Parmenter, M. M.
1
1990
Lifting colimits in various categories. Zbl 0665.18003
Heath, Philip R.; Parmenter, M. M.
1
1988
Normal rings and local ideals. Zbl 0602.16027
Parmenter, M. M.; Stewart, P. N.
1
1987
Isomorphic group rings of direct products. Zbl 0393.16009
Parmenter, M. M.; Polcino Milies, Cesar
1
1978
On \(*\)-clean group rings. Zbl 1318.16024
Li, Yuanlin; Parmenter, M. M.; Yuan, Pingzhi
9
2015
Construction of central units in integral group rings of finite groups. Zbl 1246.16028
Jespers, Eric; Parmenter, M. M.
5
2012
Groups with restricted squaring properties. Zbl 1258.20020
Eddy, Terry; Parmenter, M. M.
3
2012
Reversible group rings over commutative rings. Zbl 1134.16009
Li, Yuanlin; Parmenter, M. M.
8
2007
Group gradings on integral group rings. Zbl 1102.16026
Bahturin, Yuri A.; Parmenter, Michael M.
2
2006
Trivial units for group rings with \(G\)-adapted coefficient rings. Zbl 1080.16026
Herman, Allen; Li, Yuanlin; Parmenter, M. M.
5
2005
The upper central series of the unit group of an integral group ring. Zbl 1078.16029
Li, Yuanlin; Parmenter, M. M.
2
2005
Hypercentral units in alternative loop rings. Zbl 1064.17016
Goodaire, Edgar G.; Li, Yuanlin; Parmenter, Michael M.
1
2005
Some results on hypercentral units in integral group rings. Zbl 1034.16037
Li, Yuanlin; Parmenter, M. M.
4
2003
Generalized commutativity in group algebras. Zbl 1032.16023
Bahturin, Yu. A.; Parmenter, M. M.
2
2003
Finitely \(\Sigma\)-CS property of excellent extensions of rings. Zbl 1036.16023
Parmenter, M. M.; Zhou, Yiqiang
1
2003
Multiplicative Jordan decomposition in integral group rings of groups of order 16. Zbl 1018.20005
Parmenter, M. M.
5
2002
On groups with redundacy in multiplication. Zbl 1072.20505
Parmenter, M. M.
3
2002
Hypercentral units in integral group rings. Zbl 0968.16015
Li, Yuanlin; Parmenter, M. M.
9
2001
A basis for powers of the augmentation ideal. Zbl 0979.16015
Parmenter, M. M.
6
2001
On the normalizer property for integral group rings. Zbl 0943.16012
Li, Yuanlin; Sehgal, S. K.; Parmenter, M. M.
27
1999
Central units in integral group rings. Zbl 0931.16017
Parmenter, M. M.
2
1999
Relative injectivity of modules and excellent extensions. Zbl 0937.16039
Parmenter, M. M.; Zhou, Yiqiang
1
1999
Discrete mathematics with graph theory. Zbl 0946.05001
Goodaire, Edgar G.; Parmenter, Michael M.
6
1998
Algebraic properties of necklace rings. Zbl 0922.16016
Parmenter, M. M.; Spiegel, E.
3
1998
The periodic radical of group rings and incidence algebras. Zbl 0919.16014
Parmenter, M. M.; Spiegel, E.; Stewart, P. N.
1
1998
Central units of the integral group ring \(\mathbb{Z} A_ 5\). Zbl 0866.16021
Li, Yuanlin; Parmenter, M. M.
6
1997
Central units of integral group rings of nilpotent groups. Zbl 0846.16028
Jespers, E.; Parmenter, M. M.; Sehgal, S. K.
23
1996
Directoids and directed groups. Zbl 0832.06005
Gardner, B. J.; Parmenter, M. M.
5
1995
Stably free modules over rings of generalised integer quaternions. Zbl 0841.16022
Chatters, A. W.; Parmenter, M. M.
4
1995
Conjugates of units in integral group rings. Zbl 0840.16027
Parmenter, M. M.
2
1995
Revisiting a theorem of Higman. Zbl 0841.16035
Jespers, E.; Parmenter, M. M.; Smith, P. F.
1
1995
Unitary units in group rings of groups of order \(16\). Zbl 0833.16034
Parmenter, M. M.
4
1994
Units of group rings of groups of order 16. Zbl 0798.16019
Jespers, E.; Parmenter, M. M.
12
1993
Free torsion-free normal complements in integral group rings. Zbl 0788.16025
Parmenter, M. M.
7
1993
Bicyclic and Bass cyclic units in group rings. Zbl 0804.16037
Jespers, E.; Leal, G.; Parmenter, M. M.
6
1993
Automorphisms of the integral group ring of the wreath product of a \(p\)- group with \(S_ n\), the case \(n=2\). Zbl 0809.16041
Parmenter, M. M.; Sehgal, Sudarshan K.
4
1993
Bicyclic units in \(\mathbb{Z} S_ 3\). Zbl 0789.16023
Jespers, E.; Parmenter, M. M.
7
1992
Torsion-free normal complements in unit groups of integral group rings. Zbl 0715.16011
Parmenter, M. M.
4
1990
Isomorphic incidence algebras. Zbl 0723.06005
Parmenter, M. M.; Schmerl, J.; Spiegel, E.
3
1990
Determining units in some integral group rings. Zbl 0718.16026
Goodaire, E. G.; Jespers, E.; Parmenter, M. M.
3
1990
Finite coverings by cosets of normal subgroups. Zbl 0723.20016
Parmenter, M. M.
1
1990
A note on Jacobson rings and polynomial rings. Zbl 0672.16004
Ferrero, Miguel; Parmenter, Michael M.
6
1989
Excellent extensions. Zbl 0642.16022
Parmenter, M. M.; Stewart, P. N.
24
1988
Lifting colimits in various categories. Zbl 0665.18003
Heath, Philip R.; Parmenter, M. M.
1
1988
Semi-simplicity of alternative loop rings. Zbl 0634.17014
Goodaire, E. G.; Parmenter, M. M.
8
1987
Normal rings and local ideals. Zbl 0602.16027
Parmenter, M. M.; Stewart, P. N.
1
1987
Units in alternative loop rings. Zbl 0594.17016
Goodaire, Edgar G.; Parmenter, M. M.
12
1986
Units and isomorphism in group rings. Zbl 0583.16010
Parmenter, M. M.
3
1985
The strongly prime radical of crossed products. Zbl 0538.16005
Parmenter, M. M.; Passman, D. S.; Stewart, P. N.
27
1984
On the Groenewald-Heyman strongly prime radical. Zbl 0554.16005
Parmenter, M. M.; Stewart, P. N.; Wiegandt, R.
14
1984
Exact covering systems for groups. Zbl 0593.20023
Parmenter, M. M.
5
1984
Isomorphic group rings with non-isomorphic coefficient rings. Zbl 0434.16010
Grünenfelder, L.; Parmenter, M. M.
3
1980
Group rings whose units form a nilpotent or FC group. Zbl 0397.16012
Parmenter, M. M.; Polcino Milies, Cesar
2
1978
Isomorphic group rings of direct products. Zbl 0393.16009
Parmenter, M. M.; Polcino Milies, Cesar
1
1978
Group rings with solvable n-Engel unit groups. Zbl 0341.16001
Fisher, J. L.; Parmenter, M. M.; Sehgal, S. K.
8
1976
Isomorphic group rings. Zbl 0331.16009
Parmenter, M. M.
8
1975
Non-archimedean group algebras. Zbl 0333.16010
Parmenter, M. M.; Sehgal, S. K.
2
1975
Idempotent elements and ideals in group rings and the intersection theorem. Zbl 0291.20008
Parmenter, M. M.; Sehgal, S. K.
9
1973
Polynomial ideals in group rings. Zbl 0279.16004
Parmenter, M. M.; Passi, I. B. S.; Sehgal, S. K.
7
1973
Uniqueness of the coefficient ring in some group rings. Zbl 0293.16014
Parmenter, M.; Sehgal, S.
4
1973
On a theorem of Bovdi. Zbl 0238.20043
Parmenter, M. M.
3
1971
all top 5

Cited by 233 Authors

23 Li, Yuanlin
23 Parmenter, Michael M.
21 Jespers, Eric
15 Sehgal, Sudarshan Kumar
13 Polcino Milies, César
12 Li, Zhengxing
10 Hai, Jinke
9 Ferrero, Miguel A.
9 Goodaire, Edgar G.
8 del Río, Angel
8 Juriaans, Stanley Orlando
8 Passi, Inder Bir Singh
6 Leal, Guilherme
6 Spiegel, Eugene
5 Puczyłowski, Edmund R.
5 Stewart, Patrick N.
4 Bakshi, Gurmeet K.
4 Dooms, Ann
4 Mazurek, Ryszard
3 Bhandari, Ashwani K.
3 Chang, Shan
3 Ferraz, Raul Antonio
3 Gardner, Barry J.
3 Groenewald, Nico Johannes
3 Herman, Allen
3 Iwaki, E.
3 Kim, Nam Kyun
3 Maheshwary, Sugandha
3 Olteanu, Gabriela
3 Ruiz, Manuel
3 Tang, Gaohua
3 Tang, Guoping
3 Veldsman, Stefan
2 Akalan, Evrim
2 Beattie, Margaret
2 Bell, Howard Edwin
2 Bovdi, Adalbert
2 Braun, Amiram
2 Chajda, Ivan
2 Cliff, Gerald H.
2 Dăuş, Leonard
2 de Barros, Luiz G. X.
2 Gao, Hongwei
2 Hajarnavis, Charudatta R.
2 Hales, Alfred W.
2 Han, Dongchun
2 Hertweck, Martin
2 Hong, Chan Yong
2 Huang, Hongdi
2 Kaila, Anjana
2 Kiefer, Ann
2 Kolařík, Miroslav
2 Lee, Gregory T.
2 Li, Fang
2 Liu, Zhong-kui
2 Low, Richard M.
2 Moussavi, Ahmad
2 Petit Lobao, Thierry Correa
2 Raftery, James G.
2 Smith, Patrick Fleming
2 Souza Filho, A. C.
2 Spinelli, Ernesto
2 Srivastava, J. B.
2 Sun, Zhi-Wei
2 Tan, Yilan
2 Van Gelder, Inneke
2 Weiss, Alfred R.
2 Wu, Yansheng
2 Xue, Weimin
2 Yue, Qin
2 Zhang, Hanbin
2 Zhong, Tianyi
2 Zhu, Xiaosheng
1 Agnarsson, Geir
1 Ahmadi, Morteza
1 Aliniaeifard, Farid
1 Andrunakievich, Vladimir Aleksandrovich
1 Arnautov, Vladimir Ivanovich
1 Bächle, Andreas
1 Baeck, Jongwook
1 Bak, Anthony
1 Barrett, John William
1 Beidar, Konstantin Igorevich
1 Birkenmeier, Gary Francis
1 Bist, Vikas
1 Booth, Geoffrey L.
1 Boute, Raymond T.
1 Brown, Ronald
1 Buys, A.
1 Chen, Huanyin
1 Cisneros, Eduardo
1 Coelho, Sônia P.
1 Cojuhari, Elena P.
1 de A. e Silva, A.
1 de la Rosa, B.
1 de Mathan, Bernard
1 de Miranda, João Montenegro
1 DeAlba, Luz Maria
1 Dokuchaev, Mikhailo
1 Du, Xiankun
...and 133 more Authors
all top 5

Cited in 59 Serials

66 Communications in Algebra
32 Journal of Algebra
16 Proceedings of the American Mathematical Society
11 Quaestiones Mathematicae
10 Journal of Algebra and its Applications
9 Journal of Pure and Applied Algebra
8 Archiv der Mathematik
5 Israel Journal of Mathematics
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Journal of Group Theory
4 Czechoslovak Mathematical Journal
4 Acta Mathematica Hungarica
4 Acta Mathematica Sinica. English Series
3 Manuscripta Mathematica
3 Results in Mathematics
3 Algebra Colloquium
2 Bulletin of the Australian Mathematical Society
2 Discrete Mathematics
2 Mathematics of Computation
2 Boletim da Sociedade Brasileira de Matemática
2 Glasgow Mathematical Journal
2 Journal of Soviet Mathematics
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Transactions of the American Mathematical Society
2 Acta Applicandae Mathematicae
2 Science in China. Series A
2 International Journal of Algebra and Computation
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Applied Categorical Structures
2 Finite Fields and their Applications
2 Soft Computing
2 Algebras and Representation Theory
2 Journal of the Australian Mathematical Society
2 Asian-European Journal of Mathematics
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Acta Mathematica
1 Advances in Mathematics
1 Algebra Universalis
1 Bulletin de la Société Mathématique de France
1 Journal of Number Theory
1 Proceedings of the Japan Academy. Series A
1 Tokyo Journal of Mathematics
1 European Journal of Combinatorics
1 Order
1 Journal of Global Optimization
1 Linear Algebra and its Applications
1 Acta Mathematica Sinica. New Series
1 Journal of Discrete Mathematical Sciences & Cryptography
1 Mediterranean Journal of Mathematics
1 Frontiers of Mathematics in China
1 European Journal of Pure and Applied Mathematics
1 Journal of \(K\)-Theory
1 Science China. Mathematics
1 Journal of Theoretical Biology
1 Palestine Journal of Mathematics
1 Journal of Logical and Algebraic Methods in Programming

Citations by Year

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