A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all
four combinations are equivalent). The study of these rings grew out of the theory of …

A ring R is called a right Ikeda-Nakayama ring (right IN-ring) if the left annihilator of the
intersection of any two right ideals is the sum of the two left annihilators. In this paper we …

Rings in which certain right ideals are direct summands of annihilators Page 1 J. Aust. Math.
Soc. 73 (2002), 335-346 RINGS IN WHICH CERTAIN RIGHT IDEALS ARE DIRECT …

We show that if R is a ring such that each minimal left ideal is essential in a (direct)
summand of RR, then the dual of each simple right R-module is simple if and only if R is …

Thuyet and Wisbauer considered the extending property for the class of (essentially) finitely
generated submodules. A module M is called ef-extending if every closed submodule which …

Annihilator conditions relative to a class of modules are studied and used to characterize the
relative extending modules. In particular, dual rings relative to the class of all small right …

We say that A is a ring with duality for simple modules, or simply a DSM-ring, if, for every
simple right (left) A-module U, the dual module U* is a simple left (right) A-module. We prove …

Abstract In [16], Thuyet and Wisbauer considered the extending property for the class of
(essentially) finitely generated submodules. A module M is called ef-extending if every …

A Review To Some Properties of Semiperfect and Quasi- Frobenius Rings Page 1 او ا م ا ا ﺍﻠﻤﺠﻠﺪ
)1( ، ﺍﻠﻌﺪﺪ )1( ، ﻳﻮﻨﻴﻮ 2016 84 A Review To Some Properties of Semiperfect and Quasi- Frobenius …

We study the conditions which force a semiperfect ring to admit a Nakayama permutation of
its basic idempotents. We also give a few necessary and sufficient conditions for a …