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Author ID: goodaire.edgar-g Recent zbMATH articles by "Goodaire, Edgar G."
Published as: Goodaire, Edgar G.; Goodaire, E. G.
Documents Indexed: 88 Publications since 1974, including 4 Books
Co-Authors: 16 Co-Authors with 73 Joint Publications
275 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

67 Publications have been cited 370 times in 178 Documents Cited by Year
Alternative loop rings. Zbl 0878.17029
Goodaire, Edgar G.; Jespers, Eric; Polcino Milies, César
55
1996
Loops whose loop rings are alternative. Zbl 0582.17015
Chein, Orin; Goodaire, Edgar G.
33
1986
A class of loops which are isomorphic to all loop isotopes. Zbl 0467.20052
Goodaire, Edgar G.; Robinson, D. A.
28
1982
Alternative loop rings. Zbl 0537.17006
Goodaire, Edgar G.
22
1983
The Moufang loops of order less than \(64\). Zbl 0964.20043
Goodaire, Edgar G.; May, Sean; Raman, Maitreyi
20
1999
Moufang loops with a unique nonidentity commutator (associator, square). Zbl 0695.20040
Chein, Orin; Goodaire, Edgar G.
18
1990
Loops whose loop rings in characteristic 2 are alternative. Zbl 0718.20034
Chein, Orin; Goodaire, Edgar G.
14
1990
Some special conjugacy closed loops. Zbl 0661.20046
Goodaire, Edgar G.; Robinson, D. A.
13
1990
Units in alternative loop rings. Zbl 0594.17016
Goodaire, Edgar G.; Parmenter, M. M.
13
1986
A class of loops with right alternative loop rings. Zbl 0821.20060
Goodaire, Edgar G.; Robinson, D. A.
10
1994
Semi-simplicity of alternative loop rings. Zbl 0634.17014
Goodaire, E. G.; Parmenter, M. M.
8
1987
Isomorphisms of integral alternative loop rings. Zbl 0696.17015
Goodaire, Edgar G.; Polcino Milies, Cesar
7
1988
Finite subloops of units in an alternative loop ring. Zbl 0860.17054
Goodaire, Edgar G.; Polcino Milies, César
7
1996
Torsion units in alternative loop rings. Zbl 0678.17021
Goodaire, Edgar G.; Polcino Milies, César
6
1989
Discrete mathematics with graph theory. Zbl 0946.05001
Goodaire, Edgar G.; Parmenter, Michael M.
5
1998
Isomorphism of loops which have alternative loop rings. Zbl 0553.17005
Chein, Orin; Goodaire, Edgar G.
5
1985
Code loops are RA2 loops. Zbl 0695.20041
Chein, Orin; Goodaire, Edgar G.
5
1990
Six Moufang loops of units. Zbl 0791.20085
Goodaire, Edgar G.
5
1992
Some classes of semisimple group (and loop) algebras over finite fields. Zbl 1228.20004
Ferraz, Raul A.; Goodaire, Edgar G.; Polcino Milies, César
5
2010
Commutative alternative rings: a construction. Zbl 0984.17013
Goodaire, Edgar G.; Robinson, D. A.
4
2001
On the loop of units of an alternative loop ring. Zbl 0868.20054
Goodaire, Edgar G.; Polcino Milies, César
4
1995
Nilpotent Moufang unit loops. Zbl 0878.17031
Goodaire, Edgar G.; Polcino Milies, César
4
1997
Semi-direct products and Bol loop. Zbl 0831.20095
Goodaire, Edgar G.; Robinson, D. A.
4
1994
Loops which are cyclic extensions of their nuclei. Zbl 0488.20057
Goodaire, Edgar G.; Robinson, D. A.
3
1982
A new construction of Bol loops: the “odd” case. Zbl 1113.20054
Chein, Orin; Goodaire, Edgar G.
3
2005
Loop rings satisfying identities of Bol-Moufang type. Zbl 1232.17003
Dart, Bradley C.; Goodaire, Edgar G.
3
2009
Involutions and anticommutativity in group rings. Zbl 1278.16028
Goodaire, Edgar G.; Polcino Milies, César
3
2013
Bol loops of nilpotence class two. Zbl 1123.20060
Chein, Orin; Goodaire, Edgar G.
3
2007
Moufang loops with limited commutativity and one commutator. Zbl 0628.20054
Chein, Orin; Goodaire, Edgar G.
3
1988
Determining units in some integral group rings. Zbl 0718.16026
Goodaire, E. G.; Jespers, E.; Parmenter, M. M.
3
1990
Finite conjugacy in alternative loop algebras. Zbl 0845.17024
Goodaire, Edgar G.; Polcino Milies, C.
3
1996
A new construction of Bol loops of order \(8k\). Zbl 1084.20042
Chein, Orin; Goodaire, Edgar G.
2
2005
Minimally nonassociative nilpotent Moufang loops. Zbl 1033.20077
Chein, Orin; Goodaire, Edgar G.
2
2003
Cayley-Dickson algebras and \(RA\) loops. Zbl 0953.17023
Goodaire, Edgar G.; Zhou, Yongxin
2
2000
Alternative rings of small order. Zbl 1017.17031
Goodaire, Edgar G.; Zhou, Yongxin
2
2000
Is a right alternative loop ring alternative? Zbl 0696.17016
Chein, Orin; Goodaire, Edgar G.
2
1989
Normal subloops in the integral loop ring of an RA loop. Zbl 0994.20053
Goodaire, Edgar G.; Polcino Milies, César
2
2001
Bol loops with a large left nucleus. Zbl 1192.20051
Chein, Orin; Goodaire, Edgar G.
2
2008
Advances in loop rings and their loops. Zbl 1137.20051
Goodaire, Edgar G.
2
2007
SRAR loops with more than two commutators. Zbl 1140.20050
Chein, Orin; Goodaire, Edgar G.
2
2008
Irreducible representations of algebras. Zbl 0259.16016
Goodaire, Edgar G.
2
1974
The derivations of \(M_n(C)\). Zbl 0299.17001
Goodaire, Edgar G.
2
1975
The derivation algebra of \(M^8_4(C)\). Zbl 0313.17002
Goodaire, Edgar G.; Snell, Roy C.
2
1974
Ring alternative loops and their loop rings. Zbl 0860.17053
Goodaire, Edgar G.; Polcino Milies, César
2
1995
The torsion product property in alternative algebras. Zbl 0878.17030
Goodaire, Edgar G.; Polcino Milies, César
2
1996
A construction of loops which admit right alternative loop rings. Zbl 0861.20058
Goodaire, Edgar G.; Robinson, D. A.
2
1996
Hypercentral units in alternative loop rings. Zbl 1064.17016
Goodaire, Edgar G.; Li, Yuanlin; Parmenter, Michael M.
1
2005
Nilpotent right alternative rings and Bol circle loops. Zbl 0969.17020
Goodaire, Edgar G.
1
2000
When is a unit loop \(f\)-unitary? Zbl 1082.20042
Goodaire, Edgar G.; Polcino Milies, César
1
2005
Minimally nonassociative Moufang loops with a unique nonidentity commutator are ring alternative. Zbl 1068.20069
Chein, Orin; Goodaire, Edgar G.
1
2002
Alternative rings of small order and the hunt for Moufang circle loops. Zbl 0972.17021
Goodaire, Edgar G.
1
2000
Alternative loop rings with solvable unit loops. Zbl 0983.20066
Goodaire, Edgar G.; Polcino Milies, César
1
2001
The normalizer conjecture in the alternative case. Zbl 0994.20052
Goodaire, Edgar G.; Li, Yuanlin
1
2001
When is an \(L(B,m,n,r,s,t,z,w)\) loop SRAR? Zbl 1108.20063
Chein, O.; Goodaire, E. G.
1
2005
A brief history of loop rings. Zbl 0969.17019
Goodaire, Edgar G.
1
1999
Minimally nonassociative commutative Moufang loops. Zbl 0984.20047
Chein, Orin; Goodaire, Edgar G.
1
2001
Central idempotents in alternative loop algebras. Zbl 0887.17014
Goodaire, Edgar G.; Polcino Milies, César
1
1996
Groups embeddable in alternative loop rings. Zbl 0748.17033
Goodaire, Edgar G.
1
1991
Oriented group involutions and anticommutativity in group rings. Zbl 1321.16014
Goodaire, Edgar G.; Polcino Milies, César
1
2014
Polynomial and group identities in alternative loop algebras. Zbl 1220.17025
Goodaire, Edgar G.; Polcino Milies, César
1
2008
Jordan loops and loop rings. Zbl 1221.20048
Goodaire, Edgar G.; Keeping, Rebecca G.
1
2008
Algebras with a diagonal subspace whose centralizer satisfies a polynomial identity. Zbl 0335.16015
Goodaire, E. G.
1
1977
Weighted representations of a primitive algebra. Zbl 0249.16018
Goodaire, E. G.
1
1974
Normality of \(f\)-unitary units in an alternative loop ring. Zbl 1113.20056
Goodaire, Edgar G.; Polcino Milies, César
1
2006
The centralizer of a Cartan subalgebra of a Jordan algebra. Zbl 0371.17007
Goodaire, Edgar G.
1
1978
The radical of a modular alternative loop algebra. Zbl 0845.17025
Goodaire, Edgar G.
1
1995
Oriented involutions and skew-symmetric elements in group rings. Zbl 1273.16025
Goodaire, Edgar G.; Polcino Milies, César
1
2013
Oriented group involutions and anticommutativity in group rings. Zbl 1321.16014
Goodaire, Edgar G.; Polcino Milies, César
1
2014
Involutions and anticommutativity in group rings. Zbl 1278.16028
Goodaire, Edgar G.; Polcino Milies, César
3
2013
Oriented involutions and skew-symmetric elements in group rings. Zbl 1273.16025
Goodaire, Edgar G.; Polcino Milies, César
1
2013
Some classes of semisimple group (and loop) algebras over finite fields. Zbl 1228.20004
Ferraz, Raul A.; Goodaire, Edgar G.; Polcino Milies, César
5
2010
Loop rings satisfying identities of Bol-Moufang type. Zbl 1232.17003
Dart, Bradley C.; Goodaire, Edgar G.
3
2009
Bol loops with a large left nucleus. Zbl 1192.20051
Chein, Orin; Goodaire, Edgar G.
2
2008
SRAR loops with more than two commutators. Zbl 1140.20050
Chein, Orin; Goodaire, Edgar G.
2
2008
Polynomial and group identities in alternative loop algebras. Zbl 1220.17025
Goodaire, Edgar G.; Polcino Milies, César
1
2008
Jordan loops and loop rings. Zbl 1221.20048
Goodaire, Edgar G.; Keeping, Rebecca G.
1
2008
Bol loops of nilpotence class two. Zbl 1123.20060
Chein, Orin; Goodaire, Edgar G.
3
2007
Advances in loop rings and their loops. Zbl 1137.20051
Goodaire, Edgar G.
2
2007
Normality of \(f\)-unitary units in an alternative loop ring. Zbl 1113.20056
Goodaire, Edgar G.; Polcino Milies, César
1
2006
A new construction of Bol loops: the “odd” case. Zbl 1113.20054
Chein, Orin; Goodaire, Edgar G.
3
2005
A new construction of Bol loops of order \(8k\). Zbl 1084.20042
Chein, Orin; Goodaire, Edgar G.
2
2005
Hypercentral units in alternative loop rings. Zbl 1064.17016
Goodaire, Edgar G.; Li, Yuanlin; Parmenter, Michael M.
1
2005
When is a unit loop \(f\)-unitary? Zbl 1082.20042
Goodaire, Edgar G.; Polcino Milies, César
1
2005
When is an \(L(B,m,n,r,s,t,z,w)\) loop SRAR? Zbl 1108.20063
Chein, O.; Goodaire, E. G.
1
2005
Minimally nonassociative nilpotent Moufang loops. Zbl 1033.20077
Chein, Orin; Goodaire, Edgar G.
2
2003
Minimally nonassociative Moufang loops with a unique nonidentity commutator are ring alternative. Zbl 1068.20069
Chein, Orin; Goodaire, Edgar G.
1
2002
Commutative alternative rings: a construction. Zbl 0984.17013
Goodaire, Edgar G.; Robinson, D. A.
4
2001
Normal subloops in the integral loop ring of an RA loop. Zbl 0994.20053
Goodaire, Edgar G.; Polcino Milies, César
2
2001
Alternative loop rings with solvable unit loops. Zbl 0983.20066
Goodaire, Edgar G.; Polcino Milies, César
1
2001
The normalizer conjecture in the alternative case. Zbl 0994.20052
Goodaire, Edgar G.; Li, Yuanlin
1
2001
Minimally nonassociative commutative Moufang loops. Zbl 0984.20047
Chein, Orin; Goodaire, Edgar G.
1
2001
Cayley-Dickson algebras and \(RA\) loops. Zbl 0953.17023
Goodaire, Edgar G.; Zhou, Yongxin
2
2000
Alternative rings of small order. Zbl 1017.17031
Goodaire, Edgar G.; Zhou, Yongxin
2
2000
Nilpotent right alternative rings and Bol circle loops. Zbl 0969.17020
Goodaire, Edgar G.
1
2000
Alternative rings of small order and the hunt for Moufang circle loops. Zbl 0972.17021
Goodaire, Edgar G.
1
2000
The Moufang loops of order less than \(64\). Zbl 0964.20043
Goodaire, Edgar G.; May, Sean; Raman, Maitreyi
20
1999
A brief history of loop rings. Zbl 0969.17019
Goodaire, Edgar G.
1
1999
Discrete mathematics with graph theory. Zbl 0946.05001
Goodaire, Edgar G.; Parmenter, Michael M.
5
1998
Nilpotent Moufang unit loops. Zbl 0878.17031
Goodaire, Edgar G.; Polcino Milies, César
4
1997
Alternative loop rings. Zbl 0878.17029
Goodaire, Edgar G.; Jespers, Eric; Polcino Milies, César
55
1996
Finite subloops of units in an alternative loop ring. Zbl 0860.17054
Goodaire, Edgar G.; Polcino Milies, César
7
1996
Finite conjugacy in alternative loop algebras. Zbl 0845.17024
Goodaire, Edgar G.; Polcino Milies, C.
3
1996
The torsion product property in alternative algebras. Zbl 0878.17030
Goodaire, Edgar G.; Polcino Milies, César
2
1996
A construction of loops which admit right alternative loop rings. Zbl 0861.20058
Goodaire, Edgar G.; Robinson, D. A.
2
1996
Central idempotents in alternative loop algebras. Zbl 0887.17014
Goodaire, Edgar G.; Polcino Milies, César
1
1996
On the loop of units of an alternative loop ring. Zbl 0868.20054
Goodaire, Edgar G.; Polcino Milies, César
4
1995
Ring alternative loops and their loop rings. Zbl 0860.17053
Goodaire, Edgar G.; Polcino Milies, César
2
1995
The radical of a modular alternative loop algebra. Zbl 0845.17025
Goodaire, Edgar G.
1
1995
A class of loops with right alternative loop rings. Zbl 0821.20060
Goodaire, Edgar G.; Robinson, D. A.
10
1994
Semi-direct products and Bol loop. Zbl 0831.20095
Goodaire, Edgar G.; Robinson, D. A.
4
1994
Six Moufang loops of units. Zbl 0791.20085
Goodaire, Edgar G.
5
1992
Groups embeddable in alternative loop rings. Zbl 0748.17033
Goodaire, Edgar G.
1
1991
Moufang loops with a unique nonidentity commutator (associator, square). Zbl 0695.20040
Chein, Orin; Goodaire, Edgar G.
18
1990
Loops whose loop rings in characteristic 2 are alternative. Zbl 0718.20034
Chein, Orin; Goodaire, Edgar G.
14
1990
Some special conjugacy closed loops. Zbl 0661.20046
Goodaire, Edgar G.; Robinson, D. A.
13
1990
Code loops are RA2 loops. Zbl 0695.20041
Chein, Orin; Goodaire, Edgar G.
5
1990
Determining units in some integral group rings. Zbl 0718.16026
Goodaire, E. G.; Jespers, E.; Parmenter, M. M.
3
1990
Torsion units in alternative loop rings. Zbl 0678.17021
Goodaire, Edgar G.; Polcino Milies, César
6
1989
Is a right alternative loop ring alternative? Zbl 0696.17016
Chein, Orin; Goodaire, Edgar G.
2
1989
Isomorphisms of integral alternative loop rings. Zbl 0696.17015
Goodaire, Edgar G.; Polcino Milies, Cesar
7
1988
Moufang loops with limited commutativity and one commutator. Zbl 0628.20054
Chein, Orin; Goodaire, Edgar G.
3
1988
Semi-simplicity of alternative loop rings. Zbl 0634.17014
Goodaire, E. G.; Parmenter, M. M.
8
1987
Loops whose loop rings are alternative. Zbl 0582.17015
Chein, Orin; Goodaire, Edgar G.
33
1986
Units in alternative loop rings. Zbl 0594.17016
Goodaire, Edgar G.; Parmenter, M. M.
13
1986
Isomorphism of loops which have alternative loop rings. Zbl 0553.17005
Chein, Orin; Goodaire, Edgar G.
5
1985
Alternative loop rings. Zbl 0537.17006
Goodaire, Edgar G.
22
1983
A class of loops which are isomorphic to all loop isotopes. Zbl 0467.20052
Goodaire, Edgar G.; Robinson, D. A.
28
1982
Loops which are cyclic extensions of their nuclei. Zbl 0488.20057
Goodaire, Edgar G.; Robinson, D. A.
3
1982
The centralizer of a Cartan subalgebra of a Jordan algebra. Zbl 0371.17007
Goodaire, Edgar G.
1
1978
Algebras with a diagonal subspace whose centralizer satisfies a polynomial identity. Zbl 0335.16015
Goodaire, E. G.
1
1977
The derivations of \(M_n(C)\). Zbl 0299.17001
Goodaire, Edgar G.
2
1975
Irreducible representations of algebras. Zbl 0259.16016
Goodaire, Edgar G.
2
1974
The derivation algebra of \(M^8_4(C)\). Zbl 0313.17002
Goodaire, Edgar G.; Snell, Roy C.
2
1974
Weighted representations of a primitive algebra. Zbl 0249.16018
Goodaire, E. G.
1
1974
all top 5

Cited by 163 Authors

34 Goodaire, Edgar G.
27 Polcino Milies, César
16 Drápal, Aleš
14 Vojtěchovský, Petr
9 Chein, Orin
8 Jaíyéọlá, Tèmítọ́pẹ́ Gbọ́láhàn
8 Kinyon, Michael K.
7 Sehgal, Sudarshan Kumar
5 Csörgő, Piroska
5 de Barros, Luiz G. X.
5 Jespers, Eric
5 Kunen, Kenneth
5 Passi, Inder Bir Singh
4 Bakshi, Gurmeet K.
4 Bhandari, Ashwani K.
4 Dooms, Ann
4 Kaila, Anjana
4 Leal, Guilherme
3 Adeniran, John Olusola
3 Ahmadidelir, Karim
3 Azizi, Behnam
3 Ferraz, Raul Antonio
3 Giambruno, Antonio
3 Juriaans, Stanley Orlando
3 Lee, Gregory T.
3 Mikhalëv, Aleksandr Vasil’evich
3 Nagy, Gábor Péter
3 Parmenter, Michael M.
3 Ruiz, Manuel
3 Sidana, Swati
3 Spinelli, Ernesto
3 Zhou, Yongxin
2 Ahmad, Sarfraz
2 Castillo, John Hermes
2 Cornelissen, Mariana Garabini
2 Doostie, Hossein
2 Holguín-Villa, Alexander
2 Hora, Jan
2 Iranmanesh, Ali
2 Kuzucuoglu, Feride
2 Maheshwary, Sugandha
2 Merlini Giuliani, Maria de Lourdes
2 Nadeem, Muhammed
2 Peresi, Luiz Antonio
2 Pula, Kyle
2 Robinson, D. A.
2 Ruiz Marín, Manuel
2 Sharma, Rajendra Kumar
2 Siddiqui, Muhammad Kamran
1 Adeniregun, A. A.
1 Agnarsson, Geir
1 Akbari-Sehat, M.
1 Ali, Muhammad Arfan
1 Asiru, Muniru Aderemi
1 Bahturin, Yuri
1 Batten, Lynn Margaret
1 Beattie, Margaret
1 Beidar, Konstantin Igorevich
1 Beneduci, Roberto
1 Birkenmeier, Gary Francis
1 Boute, Raymond T.
1 Broche Cristo, Osnel
1 Broche, Osnel
1 Brochero Martínez, Fabio Enrique
1 Chee, Wing Loon
1 Chen, Hong
1 Coulter, Robert S.
1 Dart, Bradley C.
1 David, Sunday Peter
1 DeAlba, Luz Maria
1 Didurik, Natalia N.
1 Effiong, Gideon Okon
1 Epstein, Neil
1 Farahani, Mohammad Reza
1 Faraz, Muhammad Iftikhar
1 Gagola, Stephen M. III
1 Galkin, Vladimir Michaĭlovich
1 Gao, Yubin
1 Gardner, Barry James
1 George, Olufemi Olakunle
1 Giraldo Vergara, Carmen Rosa
1 Gondal, Muhammad Asif
1 Gribov, A. B.
1 Gribov, Alexey V.
1 Grishkov, Alexander Nikolaevich
1 Guerreiro, Marinês
1 Gupta, Shalini
1 Hasanzadeh Bashir, H.
1 Hasanzadeh, Hamideh
1 Hemmila, Davin
1 Henderson, Marie
1 Hentzel, Irvin Roy
1 Hogben, Leslie
1 Idowu, Kehinde Adisa
1 Isere, Abednego Orobosa
1 Ivanchov, Mykola I.
1 Janota, Mikoláš
1 Jedlička, Přemysl
1 Johnson, Kenneth W.
1 Khalaf, Abdul Jalil M.
...and 63 more Authors
all top 5

Cited in 60 Serials

41 Communications in Algebra
21 Journal of Algebra
10 Journal of Algebra and its Applications
5 Proceedings of the American Mathematical Society
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Journal of Soviet Mathematics
4 Results in Mathematics
4 Proyecciones
3 Beiträge zur Algebra und Geometrie
3 Journal of Pure and Applied Algebra
3 Transactions of the American Mathematical Society
3 European Journal of Combinatorics
3 International Journal of Algebra and Computation
3 Algebra Colloquium
3 Finite Fields and their Applications
3 Journal of Combinatorial Designs
3 Journal of Discrete Mathematical Sciences & Cryptography
3 São Paulo Journal of Mathematical Sciences
2 Archiv der Mathematik
2 Commentationes Mathematicae Universitatis Carolinae
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Journal of Symbolic Computation
2 Forum Mathematicum
2 Linear Algebra and its Applications
2 Journal of Mathematical Extension
1 American Mathematical Monthly
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Journal of Mathematical Analysis and Applications
1 Linear and Multilinear Algebra
1 Rocky Mountain Journal of Mathematics
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Journal of Geometry
1 Manuscripta Mathematica
1 Topology and its Applications
1 Acta Mathematica Hungarica
1 Bulletin of the Iranian Mathematical Society
1 Order
1 Extracta Mathematicae
1 Facta Universitatis. Series Mathematics and Informatics
1 Acta Mathematica Universitatis Comenianae. New Series
1 Journal of Global Optimization
1 Designs, Codes and Cryptography
1 Russian Mathematics
1 Journal of Algebraic Combinatorics
1 Journal of Mathematical Sciences (New York)
1 Journal of Inverse and Ill-Posed Problems
1 Algebras and Representation Theory
1 Quasigroups and Related Systems
1 Journal of the Australian Mathematical Society
1 European Journal of Pure and Applied Mathematics
1 Asian-European Journal of Mathematics
1 International Journal of Group Theory
1 Mathematical Sciences
1 Journal of Logical and Algebraic Methods in Programming
1 Open Mathematics
1 Matematicheskie Voprosy Kriptografii

Citations by Year