Results 71 to 80 of about 584 (193)
, 2017 Summary: In this work, \(gw\)-prime submodules of a module over a commutative ring with identity are defined. This class of submodules is a generalization of weakly prime submodules. After examining general properties of \(gw\)-prime submodules, their relation with valuation modules are investigated.
Bilgin, Zehra +2 more
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Prime Lie Rings of Derivations of Commutative Rings II
, 2013 [[abstract]]Let R be a 2-torsionfree commutative ring, and D a Lie subring and an R-submodule of Der(R) such that R is D-prime.
Lee, Pjek-Hwee; Liu, Cheng-Kai
core
SOME PROPERTIES OF ALMOST JOINTLY PRIME (R,S)-SUBMODULES
Let and be rings with identity. The definition of prime submodule has been generalized to the almost prime submodule. In addition, the definition of prime submodule has also been carried over to the (,)-module structure, which is called jointly prime (,
Nurnugroho, Burhanudin Arif +3 more
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A Note on the Dimension of the Largest Simple Hecke Submodule
, 2021 For k≥2 even, let dk,N denote the dimension of the largest simple Hecke submodule of Sk(Γ0(N);Q)new. We show, using a simple analytic method, that dk,N≫kloglogN/log(2p) with p, the smallest prime co-prime to N.
Bettin, Sandro +2 more
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On 2-Absorbing Primary Submodules of Modules over Commutative Rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 All rings are commutative with 1 ≠ 0, and all modules are unital. The purpose of this paper is to investigate the concept of 2-absorbing primary submodules generalizing 2-absorbing primary ideals of rings. Let M be an R-module. A proper submodule N of an
Mostafanasab Hojjat +3 more
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On the Lie structure of a prime associative superalgebra [PDF]
, 2014 In this paper some results on the Lie structure of prime superalgebras are discussed. We prove that, with the exception of some special cases, for a prime superalgebra A over a ring of scalars Φ with 1/2 ∈ Φ, if L is a Lie ideal of A and W is a ...
Laliena, J. [0000-0001-8895-3591]
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 Let R be a commutative ring with 10 and M is a unitary R-module . In this paper , our aim is to continue studying 2-absorbing submodules which are introduced by A.Y. Darani and F. Soheilina . Many new properties and characterizations are given .
Inaam M.Ali, Abdurehman A. Harfash
doaj
Results in Injective Envelope and Indecomposable Injective Modules
پژوهشهای ریاضی, 2021 Introduction Throughout this paper, is a commutative ring with non-zero identity and is an -module. The study of injective modules is very important in commutative algebra and homological Algebra.
Masoumeh Hasanzad +2 more
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On \(\Phi\)-powerful submodules and \(\Phi\)-strongly prime submodules
AIMS Mathematics, 2021 Let R be a commutative ring with identity and N be a submodule of an R-module M. We say a nonnil submodule N of an R-module M is a Φ-powerful (resp., Φ-strongly prime) submodule, if Φ(N) is a powerful (resp., strongly prime) submodule of a module Φ(M). We show that a nonnil prime submodule N of an R-module M is a Φ-powerful submodule if and only if it ...
Waheed Ahmad Khan +2 more
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, 1979 Let R denote a strongly prime ring. An explicit construction is given of the radical in R-mod corresponding to the unique maximal proper torsion theory. This radical is characterized in two other ways analogous to known descriptions of the prime radical ...
W. K. Nicholson, J. F. Watters
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