Results 1 to 10 of about 22,630 (157)
Fuzzy essential-small submodules and fuzzy small-essential submodules [PDF]
Journal of Hyperstructures, 2020 In this paper, we introduce the concepts of a fuzzy essential-small submodule and a fuzzy small-essential submodule ofa module. We investigate various properties of such fuzzy submodules.
Jyoti Ashok Khubchandani +1 more
doaj +2 more sources
Fuzzy Small Submodule and Jacobson 𝐿-Radical [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 Using the notion of fuzzy small submodules of a module, we introduce the concept of fuzzy coessential extension of a fuzzy submodule of a module. We attempt to investigate various properties of fuzzy small submodules of a module.
Saifur Rahman, Helen K. Saikia
doaj +2 more sources
Closed-Small Submodules and Closed-hollow Modules.
Wasit Journal for Pure Sciences, 2023 The aim of this study is to present the concept of closed-small submodule and closed-hollow module as generalization of small and hollow concepts respectively. As evidence, attributes of these ideas.
Esraa Hashim
doaj +2 more sources
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 Let M be an R-module, where R is a commutative ring with unity. A submodule N of M is called e-small (denoted by N e  M) if N + K = M, where K e  M implies K = M. We give many properties related with this type of submodules.
Inaam M.A. Hadi, Sameeah H. Aidi
doaj +1 more source
Journal of MathematicsLet R be a commutative ring with nonzero identity, S⊆R be a multiplicatively closed subset of R, and M be a unital R-module. In this article, we introduce the concepts of S-semiannihilator small submodules and S-T-small submodules as generalizations of S-
F. Farzalipour, S. Rajaee, P. Ghiasvand
doaj +3 more sources
Essentially Retractable Modules Relative To A Submodule And Some Generalizations
Iraqi Journal for Computer Science and Mathematics, 2021 In this paper, we define a new notion namely essentially retractable module relative to a submodule also, a new generalizations of compressible modules relative to a submodule are introduced where a module is called compressible module relative to a ...
shukur Al-Aeashi +1 more
doaj +1 more source
P-small Compressible Modules and P-small Retractable Modules
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 Let be a commutative ring with 1 and be left unitary . In this papers we introduced and studied concept P-small compressible (An is said to be P-small compressible if can be embedded in every of it is nonzero P-small submodule of . Equivalently,
Mohammed Baqer ALHakeem +1 more
doaj +1 more source
Journal of Physics: Conference Series, 2021 Abstract Let R be a commutative ring with identity and Y be an unitary R-module. We say a non-zero submodule s of Y is a J – small semiprime if and only if for whenever i ∈ R, y ∈ Y,(Y) is small in Y and i2y ∈ S + Rad (Y) implies iy ∈ S.
Nuhad S. Al-Mothafar, Rafid M Al-Shibani
openaire +1 more source
Weakly Small Smiprime Submodules
Journal of Physics: Conference Series, 2021 Abstract Let R be a commutative ring with an identity, and G be a unitary left R-module. A proper submodule H of an R-module G is called semiprime if whenever a ∈ R, y ∈ G, n ∈ Z + and any ∈ H, then ay ∈ H. We say that a properi submodule H of an R-module G is a weakly small semiprime, if whenever a ∈ R, y ∈ G, n∈Z
Haider A. Ramadhan, Nuhad S. Al Mothafar
openaire +1 more source
Totally Goldie*-Supplemented Modules
Mathematics, 2023 In this paper, we first consider the properties of the Goldie*-supplemented modules, and we study the properties of totally Goldie*-supplemented modules as a version of the Goldie*-supplemented modules. A module M is called Goldie*-supplemented module if,
Ayşe Tuğba Güroğlu
doaj +1 more source