Rings over which every module has a maximal submodule
LA Koifman - Mathematical notes of the Academy of Sciences of the …, 1970 - Springer
Rings over which every module has a maximal submodule Page 1 RINGS OVER WHICtt
EVERY MODULE HAS A MAXIMAL SUBMODULE LA Koifman UDC 512.4 We consider Bass's …
EVERY MODULE HAS A MAXIMAL SUBMODULE LA Koifman UDC 512.4 We consider Bass's …
Absolutely s-Pure Modules and Neat-Flat Modules
E Büyükaşık, Y Durğun - Communications in Algebra, 2015 - Taylor & Francis
Let R be a ring with an identity element. We prove that R is right Kasch if and only if injective
hull of every simple right R-modules is neat-flat if and only if every absolutely pure right R …
hull of every simple right R-modules is neat-flat if and only if every absolutely pure right R …
On liftable and weakly liftable modules
H Dao - Journal of Algebra, 2007 - Elsevier
Let T be a Noetherian ring and fa nonzerodivisor on T. We study concrete necessary and
sufficient conditions for a module over R= T/(f) to be weakly liftable to T, in the sense of …
sufficient conditions for a module over R= T/(f) to be weakly liftable to T, in the sense of …
A generalization of supplemented modules
H Inankil, S Halıcıoglu, A Harmanci - Algebra and Discrete Mathematics, 2011 - mathnet.ru
Let R be an arbitrary ring with identity and M a right R-module. In this paper, we introduce a
class of modules which is an analogous of δ-supplemented modules defined by Kosan. The …
class of modules which is an analogous of δ-supplemented modules defined by Kosan. The …
An obstruction to lifting cyclic modules
M Hochster - Pacific Journal of Mathematics, 1975 - msp.org
Let A be a ring (all ring are commutative, with identity), let t∈ A be a nonzerodivisor and not
a unit, and let B= A∕ At. Let M be a B-module of finite type. We call an A-module E of finite …
a unit, and let B= A∕ At. Let M be a B-module of finite type. We call an A-module E of finite …
On rings with associated elements
MT Koşan, TC Quynh, S Şahinkaya - Communications in Algebra, 2017 - Taylor & Francis
ABSTRACT A principal right ideal of a ring is called uniquely generated if any two elements
of the ring that generate the same principal right ideal must be right associated (ie, if for all a …
of the ring that generate the same principal right ideal must be right associated (ie, if for all a …
Weakly injective and weakly projective modules versus extending and lifting modules
AABU ALHALAWA, Arwa - Diss. Birzeit University, 2013 - platform.almanhal.com
In this thesis, we will study the relations between weakly injective, weakly projective versus
extending and lifting modules and its generalization. Mainly, we study rings over which …
extending and lifting modules and its generalization. Mainly, we study rings over which …
Applications of Epi-retractable and Co-epi-retractable modules
H Mostafanasab - 2013 - sid.ir
A module M is called EPI-RETRACTABLE if every submodule of M is a homomorphic image
of M. Dually, a module M is called co-EPI-RETRACTABLE if it contains a copy of each of its …
of M. Dually, a module M is called co-EPI-RETRACTABLE if it contains a copy of each of its …
[PDF][PDF] Remarks on the lifting property of simple modules
M Okado, K Oshiro - 1984 - projecteuclid.org
REMARKS ON THE LIFTING PROPERTY OF SIMPLE MODULES Page 1 Okado, M. and
Oshiro, K. Osaka J. Math. 21 (1984), 375-385 REMARKS ON THE LIFTING PROPERTY OF …
Oshiro, K. Osaka J. Math. 21 (1984), 375-385 REMARKS ON THE LIFTING PROPERTY OF …
[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 …