A generalization of strongly regular rings

1984 ◽  
Vol 43 (1-2) ◽  
pp. 57-61 ◽  
Author(s):  
V. Gupta
Keyword(s):  
Strongly Regular ◽  
Regular Rings

scholarly journals A note on strongly regular rings

1964 ◽  
Vol 40 (2) ◽  
pp. 74-75
Author(s):  
Jiang Luh
Keyword(s):  
Strongly Regular ◽  
Regular Rings

Some Remarks on Regular and Strongly Regular Rings

1975 ◽  
Vol 17 (5) ◽  
pp. 709-712 ◽  
Author(s):  
R. Raphael
Keyword(s):  
Generalized Inverse ◽  
Ring Homomorphisms ◽  
Strongly Regular ◽  
Regular Rings

This article presents some new algebraic and module theoretic characterizations of strongly regular rings. The latter uses Lambek’s notion of symmetry. Strongly regular rings are shown to admit an involution and form an equational category. An example due to Paré shows that the category of regular rings and ring homomorphisms between them is not equational. Remarks on quasiinverses and the generalized inverse of a matrix are included. The author acknowledges support from the NRC (A7752) and improvements from W. Blair received after announcement of the results.

Strongly regular rings

1985 ◽  
Vol 32 (1) ◽  
pp. 145-161
Author(s):  
Lide Li ◽  
Boris M. Schein
Keyword(s):  
Strongly Regular ◽  
Regular Rings

scholarly journals REDUCED MODULES AND STRONGLY REGULAR RINGS

2017 ◽  
Vol 33 (1) ◽  
pp. 75-81
Author(s):  
Chan Huh ◽  
Jeoung Soo Cheon ◽  
Du Won Kim
Keyword(s):  
Strongly Regular ◽  
Regular Rings

scholarly journals Positive derivations on partially ordered strongly regular rings

1984 ◽  
Vol 37 (2) ◽  
pp. 178-180 ◽  
Author(s):  
D. J. Hansen
Keyword(s):  
Regular Ring ◽  
Additional Property ◽  
Partially Ordered ◽  
Strongly Regular ◽  
Regular Rings

AbstractThe author presents a proof that a partially ordered strongly regular ring S which has the additional property that the square of each member of S is greater than or equal to zero cannot have nontrivial positive derivations.

A note on modules over regular rings

1971 ◽  
Vol 4 (1) ◽  
pp. 57-62 ◽  
Author(s):  
K. M. Rangaswamy ◽  
N. Vanaja
Keyword(s):  
Regular Ring ◽  
Finitely Generated ◽  
Von Neumann Regular Ring ◽  
Von Neumann ◽  
Free Left ◽  
Von Neumann Regular ◽  
Strongly Regular ◽  
Torsion Free ◽  
Regular Rings

It is shown that a von Neumann regular ring R is left seif-injective if and only if every finitely generated torsion-free left R-module is projective. It is further shown that a countable self-injective strongly regular ring is Artin semi-simple.

A type of strongly regular rings

2015 ◽  
Vol 30 (1) ◽  
pp. 437-442
Author(s):  
B. Sambathkumar ◽  
P. Nandakumar ◽  
P. Dheena
Keyword(s):  
Strongly Regular ◽  
Regular Rings

Strongly regular rings

1990 ◽  
Vol 56 (3-4) ◽  
pp. 255-257
Author(s):  
C. Jayaram
Keyword(s):  
Strongly Regular ◽  
Regular Rings
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