Results 21 to 30 of about 118 (102)
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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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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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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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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, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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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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Karakteristik Modul Endoprima Lemah
Jambura Journal of MathematicsIn this research, we studied weakly endoprime module, which is a development of weakly prime module by reviewing its fully invariant submodule. This is similar to the development of endoprime module from prime module.
Dewi Ika Ainurrofiqoh
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, 2020 Recall that a commutative ring R is said to be a divided ring if its each prime ideal P is comparable with each principal ideal (a), where a is an element of R.
TEKİR, ÜNSAL, KOÇ, SUAT
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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
On 2-absorbing submodule elements in le-modules and its generalizations
, 2022 In this paper, we introduce the concept of 2-absorbing submodule elements in an le-module M as follows: a proper submodule element q in M is said to be 2-absorbing for any r,s is an element of R and m is an element of M if rsm <= q, then either rs is ...
ASLANKARAYİĞİT UĞURLU, EMEL
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