Cofinitely semiperfect modules
H Calisici, A Pancar - Siberian Mathematical Journal, 2005 - Springer
It is well known that a projective module M is⊕-supplemented if and only if M is semiperfect.
We show that a projective module M is⊕-cofinitely supplemented if and only if M is cofinitely …
We show that a projective module M is⊕-cofinitely supplemented if and only if M is cofinitely …
⊕-cofinitely supplemented modules
H Çalişici, A Pancar - Czechoslovak Mathematical Journal, 2004 - Springer
Let R be a ring and M a right R-module. M is called⊕-cofinitely supplemented if every
submodule N of M with M/N finitely generated has a supplement that is a direct summand of …
submodule N of M with M/N finitely generated has a supplement that is a direct summand of …
Semiregular modules and F-semiperfect modules
W Xue - Communications in Algebra, 1995 - Taylor & Francis
Let R be a ring with Jacobson radical J (R). Following CNI, a submodule N of a left R-
module RM is said to lie over a summand of M if there exists an idempotent e E End (RM) …
module RM is said to lie over a summand of M if there exists an idempotent e E End (RM) …
A Note on⊕‐Cofinitely Supplemented Modules
Y Wang, Q Sun - International Journal of Mathematics and …, 2007 - Wiley Online Library
Let R be a ring and M a right R‐module. In this note, we show that a quotient of an⊕‐
cofinitely supplemented module is not in general⊕‐cofinitely supplemented and prove that if …
cofinitely supplemented module is not in general⊕‐cofinitely supplemented and prove that if …
[PDF][PDF] Cofinitely δ-supplemented and cofinitely δ-semiperfect modules
K Al-Takhman - International Journal of Algebra, 2007 - researchgate.net
In this work, we prove that an R-module M is cofinitely δ-supplemented (ie each cofinite
submodule of M has a δ-supplement) if and only if every maximal submodule of M has a δ …
submodule of M has a δ-supplement) if and only if every maximal submodule of M has a δ …
-cofinitely supplemented modules
H Çalışıcı, A Pancar - Czechoslovak Mathematical Journal, 2004 - dml.cz
Let $ R $ be a ring and $ M $ a right $ R $-module. $ M $ is called $\oplus $-cofinitely
supplemented if every submodule $ N $ of $ M $ with $\frac {M}{N} $ finitely generated has a …
supplemented if every submodule $ N $ of $ M $ with $\frac {M}{N} $ finitely generated has a …
[引用][C] F-semi-perfect modules
G Azumaya - Journal of Algebra, 1991 - Elsevier
Let R be a ring with Jacobson radical J. Bass [1] called R semi-perfect if the factor ring R/J is
semi-simple Artinian and every idempotent of R/J can be lifted to an idempotent of R. He …
semi-simple Artinian and every idempotent of R/J can be lifted to an idempotent of R. He …
[PDF][PDF] Cofinitely δM− Supplemented and Cofinitely δM− Semiperfect Modules
AO Alattass - International Journal of Algebra, 2011 - m-hikari.com
Cofinitely δM−Supplemented and Cofinitely δM−Semiperfect Modules 1 Introduction Page 1
International Journal of Algebra, Vol. 5, 2011, no. 32, 1575 - 1588 Cofinitely δM−Supplemented …
International Journal of Algebra, Vol. 5, 2011, no. 32, 1575 - 1588 Cofinitely δM−Supplemented …
On semiperfect modules
WK Nicholson - Canadian Mathematical Bulletin, 1975 - cambridge.org
Sandomierski (Proc. AMS 21 (1969), 205–207) has proved that a ring is semiperfect if and
only if every simple module has a projective cover. This is generalized to semiperfect …
only if every simple module has a projective cover. This is generalized to semiperfect …