On modules and rings having large absolute direct summands
T Dao Thi, T M. Koşan, Ö Taşdemir… - Communications in …, 2023 - Taylor & Francis
An ADS module is a direct sum of mutually injective modules, and an e-ADS module is a
direct sum of mutually automorphism-invariant modules. In this paper, we introduce and …
direct sum of mutually automorphism-invariant modules. In this paper, we introduce and …
U-Modules with transitive perspectivity
Y Ibrahim, M Yousif - Communications in Algebra, 2021 - Taylor & Francis
We show that if perspectivity is transitive in a Utumi-module M, then E (M) satisfies the
substitution property. Moreover, we also prove that if M is either a quasi-continuous or an …
substitution property. Moreover, we also prove that if M is either a quasi-continuous or an …
Small Dual-ADS Modules, Small ADS and Small ADS* Modules
A right module over a ring is called small dual-ADS, if for each decomposition then and are
mutually small projective. Small dual-ADS modules are the dual analogue of LADS …
mutually small projective. Small dual-ADS modules are the dual analogue of LADS …
Direct complements almost unique
Y Ibrahim, M Yousif - Journal of Algebra and Its Applications, 2023 - World Scientific
Direct complements in a right R-module M are said to be almost unique if, whenever M= A⊕
B= A⊕ C, then (B+ C)/B≪ M/B (also (B+ C)/C≪ M/C, by symmetry). We will show that this …
B= A⊕ C, then (B+ C)/B≪ M/B (also (B+ C)/C≪ M/C, by symmetry). We will show that this …
[HTML][HTML] On a question concerning D4-modules
D Soumitra - Вестник Санкт-Петербургского университета …, 2021 - cyberleninka.ru
An R-module M is called a D4-module if 'whenever M1 and M2 are direct summands of M
with M1+ M2= M and M1~= M2, then M1∩ M2 is a direct summand of M'. Let M=⊕ i∈ IMi be …
with M1+ M2= M and M1~= M2, then M1∩ M2 is a direct summand of M'. Let M=⊕ i∈ IMi be …
К вопросу о D4-модулях
С Дас - Вестник Санкт-Петербургского …, 2021 - math-mech-astr-journal.spbu.ru
Аннотация R-модуль M называется D4-модулем, если всякий раз, когда M1 и M2
являются прямыми слагаемыми M с M1+ M2= M и M1∼= M2, то M1\M2 является прямым …
являются прямыми слагаемыми M с M1+ M2= M и M1∼= M2, то M1\M2 является прямым …