Results 21 to 30 of about 141 (119)
WE-primary submodules and WE-quasi-prime submodules
Tikrit Journal of Pure Science, 2019 In this paper we introduced and study two concepts one of is a subclass of a class of weakly primary submodules called WE-primary submodules and the other of a subclass of weakly quasi-prime submodules called WE-quasi-prime submodules.
Haibat K.Mahmmed Ali, Saif A. Hussein
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Pseudo Weakly Closed Submodules and Related Concepts
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2020 Let be a commutative ring with identity, and be a unitary left -module. In this paper we introduce the concept pseudo weakly closed submodule as a generalization of -closed submodules, where a submodule of an -module is called a pseudo weakly closed
Haibat K. Mohammadali +1 more
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Tamkang Journal of Mathematics, 2007 Let $ R $ be a commutative ring with non-zero identity. We define a proper submodule $ N $ of an $ R $-module $ M $ to be weakly prime if $ 0\not = rm\in N $( $ r\in R, m\in M $) implies $ m\in N $ or $ rM\subseteq N $. A number of results concerning weakly prime submodules are given.
Atani, S. Ebrahimi, Farzalipour, F.
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On weakly delta(R,M)-semiprimary submodules
, 2022 Let R be a commutative ring with 1 not equal 0 and M be a nonzero unital R-module. Recall that a proper submodule N of M is called a semiprimary submodule of M if whenever rm is an element of N for r is an element of R and m is an element of M, then r is
SÖNMEZ, Deniz +2 more
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RADICAL FORMULA AND WEAKLY PRIME SUBMODULES [PDF]
Glasgow Mathematical Journal, 2009 AbstractLet B be a submodule of an R-module M. The intersection of all prime (resp. weakly prime) submodules of M containing B is denoted by rad(B) (resp. wrad(B)). A generalisation of 〈E(B)〉 denoted by UE(B) of M will be introduced. The inclusions 〈E(B)〉 ⊆ UE(B) ⊆ wrad(B) ⊆ rad(B) are motivations for studying the equalities UE(B) = wrad(B) and UE(B) =
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, 2017 En este artículo, definimos los submódulos gw-primos de un módulo sobre un anillo conmutativo con identidad. Esta clase de submódulos es una generalización de los submódulos débilmente primos.
Bilgin, Zehra +2 more
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Some Properties of Left Weakly Jointly Prime (R,S)-Submodules [PDF]
Journal of the Indonesian Mathematical Society, 2020 Let R and S be commutative rings with identity. A proper (R,S)submodule P of M is called a left weakly jointly prime if for each element a and b in R and (R,S)-submodule K of M with abKS ⊆ P implies either aKS ⊆ P or bKS ⊆ P. In this paper, we present some properties of left weakly jointly prime (R,S)-submodule.
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Prime Submodules of Graded Modules [PDF]
, 2013 Let G be a group, R be a G-graded ring and M be a G-graded R-module. Suppose P is a prime ideal of Reand g G G. In this article, we defineMg (P) = {m G Mg : Am C PMg for some ideal A of Re satisfying A C P}that is an Re-submodule of Mg, and we ...
Bataineh, Malik +2 more
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PRIME ELEMENTS IN PARTIALLY ORDERED GROUPOIDS APPLIED TO MODULES AND HOPF ALGEBRA ACTIONS [PDF]
, 2005 Primeness on modules can be defined by prime elements in a suitable partially ordered groupoid. Using a product on the lattice of submodules L(M) of a module M defined in [3] we revise the concept of prime modules in this sense. Those modules M for which
Christian Lomp
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Advanced Intelligent Systems, EarlyView.A physics‐guided deep learning framework, ParamNet, is introduced for the intelligent self‐inversion of vacuum optical tweezers. By fuzing dual‐branch time–frequency features with physical dynamical constraints, it achieves high‐accuracy calibration of trap parameters from short‐window, low‐frequency trajectories, outperforming traditional methods ...
Qi Zheng +4 more
wiley +1 more source