Papa Cheikhou Diop
Université de Thiès
Reduced ringSemisimple moduleCombinatoricsImage (mathematics)EndomorphismDiscrete mathematicsIdeal (ring theory)Noncommutative ringInjective functionBoolean ringArtinian ringDual (category theory)Principal ideal ringHomomorphic encryptionUnitalCommutative ringPrimary idealGeneralizationVon Neumann regular ringQuotient ringPure mathematicsDirect sumSubringRing (mathematics)Simple (abstract algebra)NoetherianKernel (category theory)Factor (programming language)Projective moduleDimension (graph theory)MathematicsPrüfer domainHomomorphismIntegerComputer scienceComplement (set theory)Dedekind cutPrincipal idealInvertible matrix
11Publications
1H-index
6Citations
Publications 15
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#1Abdoul Djibril Diallo (UCAD: Cheikh Anta Diop University)H-Index: 1
#2Papa Cheikhou Diop (Université de Thiès)H-Index: 1
In this paper, we introduce the notion of t-epi-modules. An R-module M is called t-epi if every t-closed submodule of M is a homomorphic image of M. Various properties of these modules are studied....
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#1Papa Cheikhou Diop (Université de Thiès)H-Index: 1
#2Abdoul Djibril Diallo (UCAD: Cheikh Anta Diop University)H-Index: 1
Let R be a commutative ring and M a unital R-module. A submodule N is said to be ?-small, if whenever N + L = M with M/L is singular, we have L = M. M is called ?-small monoform if any of its partial endomorphism has ?-small kernel. In this paper, we introduce the concept of ?-small monoform modules as a generalization of monoform modules and give some of their properties, examples and characterizations.
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An R-module M is called c-retractable if there exists a nonzero homomorphism from M to any of its nonzero complement submodules. In this paper, we provide some new results of c- retractable modules. It is shown that every projective module over a right SI-ring is c-retractable. A dual Baer c-retractable module is a direct sum of a Z2-torsion module and a module which is a direct sum of nonsingular uniform quasi-Baer modules whose endomorphism rings are semi- local quasi-Baer. Conditions are foun...
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In this paper, we introduce the notion of c-co-epi-retractable modules. An R-module M is called c-co-epi-retractable if it contains a copy of its factor module by a complement submodule. The ring R is called c-co-pri if RR is c-co-epi-retractable. Conditions are found under which, a c-coepi-retractable module is extending, retractable, semi-simple, quasi-injective, injective and simple. Also, we investigate when c-co-epi-retractable modules have finite uniform dimension. Finally, right SI-rings,...
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Let Rbe a commutative ring and Man unital Rmodule. A submodule Lof Mis called essential submodule of M if L\cap K\neq\lbrace 0\rbracefor any nonzero submodule Kof M A submodule Nof Mis called e-small submodule of Mif, for any essential submodule Lof M N+L= Mimplies L=M An Rmodule Mis called e-small quasi-Dedekind module if, for each f\in End_{R}(M), f\neq 0implies Kerfis e-small in M In this paper we introduce the concept of e-sma...
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