Results 11 to 20 of about 1,430 (227)
Direct summands of serial modules [PDF]
Journal of Pure and Applied Algebra, 1998 The authors investigate the following problem: Is every direct summand of a serial module serial? They have got affirmative answers in some special cases. Every direct summand of a finite direct sum of copies of a uniserial module \(U\) is again a finite direct sum of copies of \(U\). If \(U_1,U_2,\dots,U_n\) are uniserial modules such that for any \(i,
NGUYEN VIET DUNG, FACCHINI, ALBERTO
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Direct summands of class groups [PDF]
Journal of Number Theory, 1983 AbstractLet G be a finite abelian group, and F a global field of characteristic prime to the order of G. Then there exists a finite extension of F whose class group has a direct summand isomorphic to G.
Sonn, Jack
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SUMMAND INTERSECTION PROPERTY ON THE CLASS OF EXACT SUBMODULES [PDF]
, 2022 A module M is said to have the SIP if intersection of each pair of direct summands is also a direct summand of M. In this article, we define a module M to have the SIPr if and only if intersection of each pair of exact direct summands is also a direct ...
TERCAN, ADNAN, Mutlu, Figen Takil
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When some complement of an exact submodule is a direct summand [PDF]
, 2021 In this article, we study C-11(r)-modules. It is shown that the class of modules with property, each submodule such that the image of its quotient is zero under a left exact preradical has a complement which is a direct summand, is closed under direct ...
TERCAN, ADNAN, YAŞAR, RAMAZAN
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Summand intersection property of modules via z-closed submodules [PDF]
, 2022 In this paper, we define a module M . to be SIPz if and only if intersection of each pair of z-closed direct summands is also a direct summand of M. We investigate structural properties of SIPz-modules and locate the implications between the other module
TERCAN, ADNAN, Mutlu, Figen Takil
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Copure direct injective modules [PDF]
, 2021 In this paper, we have introduced copure-direct-injective modules. A right R-module M is said to be copure-direct-injective if every copure submodule of M isomorphic to a direct summand of M is itself a direct
Toksoy, Sultan Eylem +1 more
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Extending property on EC-Fully Submodules
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 Thereare several generalizations of -modulesin literature. One of the generalization is based on fully invariantsubmodules. Recall that amodule is called -extendingif every fully invariant submodule is essential in a direct summand.
Ramazan Yaşar, Adnan Tercan
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A KIND OF F-INVERSE SPLIT MODULES [PDF]
Journal of Algebraic Systems, 2020 Let M be a right module over a ring R. In this manuscript, we shall study on a special case of F-inverse split modules where F is a fully invariant submodule of M introduced in [12].
M. Hosseinpour, A. R. Moniri Hamzekolaee
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The Center Of A Generalized Effect Algebra
Demonstratio Mathematica, 2014 In this article, we study the center of a generalized effect algebra (GEA), relate it to the exocenter, and in case the GEA is centrally orthocomplete (a COGEA), relate it to the exocentral cover system. Our main results are that the center of a COGEA is
Foulis D. J., Pulmannová S.
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مجلة جامعة الانبار للعلوم الصرفة, 2018 A module M is a ⨁-Supplemented if M=⨁Ni such that Ni is a direct summand of M. In this paper we introduce the notion of Fuzzy ⨁-Supplemented Module (Fuz-⨁-S-Mod) as a generalization of ⨁-supplemented module.
Majid M. Abed
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