[PDF] Top 20 \(\tau\)-complemented and \(\tau\)-supplemented modules
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\(\tau\)-complemented and \(\tau\)-supplemented modules
... For the preradical induced by the class of all (semi-)simple modules we find an interesting relationship with the complement submodules. 1.8. Neat submodules. A monomorphism f : K → L is called neat if any simple ... See full document
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\(H\)-supplemented modules with respect to a preradical
... In [2], for a radical τ , Al-Takhman, Lomp and Wisbauer defined and studied the concept of τ -lifting, τ -supplemented and τ -semiperfect modules. Following [2], a module M is called τ -lifting if every ... See full document
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δ Small Submodules and δ Supplemented Modules
... δ- supplemented module if for any submodules A, B of M with M = A + B there exists a δ- supplement P of A such that P ≤ ...Clearly, supplemented modules are δ-supplemented modules and ... See full document
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A generalization of cofinitely weak rad-supplemented modules
... called supplemented if every submodule of M has a supplement in ...and supplemented modules are a proper generalization of semisimple ...again supplemented. As a generalization of ... See full document
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Generalized \(\oplus\)-supplemented modules
... generalized supplemented or briefly W GS-module if every submodule K of M has a weak generalized supplement N in M ...(amply) supplemented and weakly generalized supplemented modules ... See full document
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Weakly G-Supplemented Modules
... g-supplemented modules and cofinitely weak g-supplemented ...these modules. We show that the finite sum of weakly g-supplemented modules is weakly g-supplemented, an ... See full document
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A note on generalızed weakly δ-supplemented modules
... Theorem 3.13: Let 0 ⟶ 𝐿 ⟶ 𝑀 ⟶ 𝑁 ⟶ 0 be a short exact sequence. If 𝐿 and 𝑁 are generalized weakly δ-supplemented modules and 𝐿 is a generalized weakly δ-supplement in 𝑀 then 𝑀 is also generalized weakly ... See full document
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On some properties of ⊕ supplemented modules
... A module M is ⊕-supplemented if every submodule of M has a supplement which is a direct summand of M. In this paper, we show that a quotient of a ⊕ -supplemented module is not in general ... See full document
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A generalization of supplemented modules
... In this paper, we introduce principally δ-supplemented modules and in- vestigate their properties. A module M is called principally δ-supplemented if for each cyclic submodule has the principally ... See full document
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Amply (weakly) Goldie-Rad-supplemented modules
... We prove that every distributive projective weakly Goldie-Rad-supp- lemented module is amply weakly Goldie-Rad-supplemented. We show that if M is an amply (weakly) Goldie-Rad-supplemented module and ... See full document
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A Generalization of ⊕-Supplemented Modules
... supplemented modules. It is shown that any finite direct sum of X -⊕-supplemented modules is X ...B-projective modules is X -⊕-supplemented if and only if every M i is X ... See full document
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On some properties of generalized δ-supplemented modules and (generalized) f-δ-supplemented modules
... N ≤ M | M N ∈ ϕ , where ϕ be the class of all singular simple modules. A submodule L 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 -supplemented in case ... See full document
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A Note on ⊕ Cofinitely Supplemented Modules
... cofinitely supplemented module is not in general ⊕ -cofinitely supplemented and prove that if a module M is an ⊕ -cofinitely supplemented multiplication module with Rad(M) M, then M can be written as ... See full document
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On Rad-H-supplemented Modules
... called supplemented (Rad- supplemented) if for each submodule A of M, there exists a submodule B of M such that M = A + B and A ∩ B B (A ∩ B ⊆ ...− supplemented if each submodule of M has a ... See full document
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Modules whose maximal submodules have \(\tau\)-supplements
... Hollow modules play an important role in the study of supplemented modules and their generalizations ...hollow modules we define τ -local ... See full document
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On injective L modules
... Definition 2.6 (see [7]). Let M and N be R-modules and let µ ∈ L(M) and ν ∈ L(N). An isomorphism f of M onto N is called a weak isomorphism of µ into ν if f (µ) ⊆ ν . If f is a weak isomorphism of µ into ν, then ... See full document
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Module decompositions via Rickart modules
... of modules and ...Rickart modules and inverse split modules, it is of interest to investigate decompositions of inverse split modules which arise out of Rickart modules, socle and ... See full document
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Functional Analyses of Two Acetyl Coenzyme A Synthetases in the Ascomycete Gibberella zeae
... agar supplemented with 40 mM potassium acetate (middle), and carrot agar supplemented with both 40 mM potassium acetate and 30 M zearalenone ...medium supplemented with 2% of glucose (MMG) 5 days ... See full document
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Comultiplication Modules
... comultiplication modules, it is shown that M = L i∈I M i , is comultiplication if and only if for each i ∈ I, M i is a comultiplication module and for each submodule N ... See full document
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π-Modules
... submodule over a submodule N of M (or a prime submodule minimal over N), we mean a prime submodule which is minimal in the collection of all prime submodules containing N. Minimal prime submodules over the zero submodule ... See full document
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