A Family of Examples of Generalized Perfect Rings
We construct a family of semiprimitive and non von Neumann regular rings satisfying that
any right or left module is isomorphic to a quotient of its flat cover (in the sense of Enochs) by …
any right or left module is isomorphic to a quotient of its flat cover (in the sense of Enochs) by …
On a characterization of perfect rings
N Ding, J Chen - Communications in Algebra, 1999 - Taylor & Francis
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Page 1 COMMUNICATIONS IN ALGEBRA, 27(2), 785-791 (1999) On a characterization of …
Page 1 COMMUNICATIONS IN ALGEBRA, 27(2), 785-791 (1999) On a characterization of …
On generalized perfect rings
Full article: On Generalized Perfect Rings Skip to Main Content Taylor and Francis Online
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On generalizations of semiperfect and perfect rings
Y Mehmet Demirci - Bulletin of the Iranian Mathematical Society, 2016 - bims.iranjournals.ir
We call a ring $ R $ right generalized semiperfect if every simple right $ R $-module is an
epimorphic image of a flat right $ R $-module with small kernel, that is, every simple right $ R …
epimorphic image of a flat right $ R $-module with small kernel, that is, every simple right $ R …
Maximal ideals in regular rings
RYC MING - Hokkaido Mathematical Journal, 1983 - projecteuclid.org
Introduction. A von Neumann regular ring A may be characterised by any one of the
following conditions:(a) every right (left) A-module is flat;(b) every right (left) A-module is p …
following conditions:(a) every right (left) A-module is flat;(b) every right (left) A-module is p …
On a recent generalization of semiperfect rings
E BÜYÜKAŞIK, C Lomp - Bulletin of the Australian Mathematical …, 2008 - cambridge.org
In a recent paper by Wang and Ding, it was stated that any ring which is generalized
supplemented as a left module over itself is semiperfect. The purpose of this note is to show …
supplemented as a left module over itself is semiperfect. The purpose of this note is to show …
The almost isomorphism relation for simple regular rings
P Ara, KR Goodearl - Publicacions matematiques, 1992 - JSTOR
A longstanding open problem in the theory of von Neumann regular rings is the question of
whether every directly finite simple regular ring must be unit-regular. Recent work on this …
whether every directly finite simple regular ring must be unit-regular. Recent work on this …
A characterization of left perfect rings
Y Zhou - Canadian Mathematical Bulletin, 1995 - cambridge.org
A CHARACTERIZATION OF LEFT PERFECT RINGS Page 1 Canad. Math. Bull. Vol. 38 (3),
1995 pp. 382-384 A CHARACTERIZATION OF LEFT PERFECT RINGS YIQIANG ZHOU …
1995 pp. 382-384 A CHARACTERIZATION OF LEFT PERFECT RINGS YIQIANG ZHOU …
A characterization of semi-perfect rings and modules
G Azumaya - Ring Theory, 1993 - books.google.com
The notion of generalized projective covers Is Introduced to give a natural generalization of
a theorem of Bass on perfect rings. Moreover, In terms of this notion, some characterizations …
a theorem of Bass on perfect rings. Moreover, In terms of this notion, some characterizations …
Generalizations of perfect, semiperfect, and semiregular rings
Y Zhou - Algebra colloquium, 2000 - Springer
For a ring R and a right R-module M, a submodule N of M is said to be δ-small in M if,
whenever N+ X= M with M/X singular, we have X= M. If there exists an epimorphism p: P→ M …
whenever N+ X= M with M/X singular, we have X= M. If there exists an epimorphism p: P→ M …