[PDF] Top 20 A Generalization of M-Small Modules
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A Generalization of M-Small Modules
... of modules which is related to (M ) ...of modules related to this functor. Recall that if M is a finitely generated modules, then ( M ) = Rad ( M ) and so all results ... See full document
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Torsion Theory and its Applications in M − D Modules
... and M an R − module. A module N ∈ σ[M ] is called M -small if, N ≪ K for some K ∈ σ[M ...by M − small modules is introduced and investigated in ...a ... See full document
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Generalization of Schur's Lemma in Ring Representations on Modules over a Commutative Ring
... is a submodule of M , by Remarks 2 ker(T ) is an R-invariant submodule of M and hence either ker(T ) = M or ker(T ) = 0. Because µ is irreducible and T 6= 0, then ker T = 0. So T is injective. ... See full document
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δ Small Submodules and δ Supplemented Modules
... and M a module. The concept of δ-small submodules was introduced by Zhou in ...study modules with ACC (resp., DCC) on δ-small submodules and prove that δ(M) is Noetherian ...if M ... See full document
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The small intersection graph relative to multiplication modules
... the distance between two distinct vertices a and b, dented by d(a, b) is the length of the shortest path connecting a and b. If there is not a path between a and b, d(a, b) = ∞. The diameter of a graph G is diam(G) = sup ... See full document
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Small submodules with respect to an arbitrary submodule
... R-module M . A submodule N of M is called T -small in M provided for each submodule X of M , T ⊆ X + N implies that T ⊆ ...a generalization of the small submodules and we ... See full document
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Lattice modules having small cofinite irreducibles
... element m, let M be a Noetherian L-module with greatest element ...that M has small cofinite irreducibles if for every positive integer n, there exists a meet-irreducible element Q of M ... See full document
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e-lifting modules relative to fully invariant submodules
... of M . Some basic characterizations of e-small submodules are obtained in ...the small and e-small notions to study some characterizations of rings and modules ([8], ...a ... See full document
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On some properties of generalized δ-supplemented modules and (generalized) f-δ-supplemented modules
... ≤ M | M N ∈ ϕ , where ϕ be the class of all singular simple ...of M is called a δ -supplement of N in M if M = N + L and N ∩ L is δ -small in L and M is called δ ... See full document
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Modules in which every surjective endomorphism has a \(\delta\)-small kernel
... and modules will be unitary. Let M denote a right module over a ring ...of modules by properties of their endomorphisms has long been of ...R-module M is called Hopfian, if any surjective ... See full document
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THE BASIS OF GENERALIZATION OF ∆E=mc2 TO ∆E=Ac2∆M AND ITS JUSTIFICATION IN PHYSICAL PHENOMENA
... to small size due to high gravitational energy conse- quently radius of the universe ...even small mass may have been converted to mammoth amount of energy as permissible by equation ∆E =Ac 2 ... See full document
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A Generalization of ⊕-Supplemented Modules
... that H is not local. Let x ∈ H \ Rad(H) such that H 6= x R. Since H is X -⊕-supplemented, there exist submodules K , K 1 of H with K ∈ B (H , X ) such that H = x R + K = K ⊕ K 1 and x R ∩ K ≪ K. It is clear that K 1 6= ... See full document
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Characterization of δ-small sub module
... all modules are unitary left ...module M. K ≤ M. Let M be a module, K ≤ M is said to be small in M if for every L ≤ M, the equality K + L = M implies L = ... See full document
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Generalization of Semi Projective Modules
... R-module M is called ...: M → M is an au- tomorphism. For example every noetherian R-modules are Hop- fian and every artinian R-modules are ...module M is called directly finite, ... See full document
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A generalization of supplemented modules
... δ-hollow modules and principally δ-lifting modules are defined in [12] and properties of these modules are ...module M is called δ-hollow if every proper submodule is δ-small in ... See full document
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A generalization of cofinitely weak rad-supplemented modules
... R-module M is called supplemented if every submodule of M has a supplement in ...≤ M is said to be a supplement of N in M if K is minimal with respect to N + K = M, or equivalently, if ... See full document
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Serre Subcategories and Local Cohomology Modules with Respect to a Pair of Ideals
... a generalization of the ordinary local cohomology modules, Takahashi, Yoshino and Yoshizawa [16] introduced the local cohomology modules with respect to a pair of ideals (I, ... See full document
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The Integrals of Entwining Structure
... This paper is organized as follows. In Section 2, we recall definitions and give examples of entwining struc- tures and entwined modules. In Section 3, we introduce the integrals of entwining structure and analyse ... See full document
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Inequalities for M tensors
... Theorem . Let A be an M-tensor and denote by τ (A) the minimal value of the real part of all eigenvalues of A. Then τ (A) > is an eigenvalue of A with a nonnegative eigenvector. Moreover, there exist a ... See full document
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Transportation of small modular reactor modules: What do the experts say?
... SMR modules would require the route conditions to be checked and assessed to whether public infrastructure such as roads, bridges, ...large modules are usually required to satisfy special ... See full document
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