Results 21 to 30 of about 22,083 (264)
Approximaitly Prime Submodules and Some Related Concepts
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019 In this research note approximately prime submodules is defined as a new generalization of prime submodules of unitary modules over a commutative ring with identity.
Ali Sh. Ajeel, Haibat K. Mohammad Ali
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The Krull radical, k-primitive rings, and critical rings
International Journal of Mathematics and Mathematical Sciences, 1982 We generalize results on the Krull radical, k-primitive rings, and critical rings from rings with identity to rings which do not necessarily contain identity.
Ralph Tucci
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Algebraic Structure of Supernilpotent Radical Class Constructed from a Topology Thychonoff Space
Al-Jabar, 2020 A radical class of rings is called a supernilpotent radicals if it is hereditary and it contains the class for some positive integer In this paper, we start by exploring the concept of Tychonoff space to build a supernilpotent radical.
Puguh Wahyu Prasetyo +2 more
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Weakly Nearly Quasi Prime Submodules
Tikrit Journal of Pure Science, 2022 In this paper, all rings are commutative with identity, and all R-modules are unitary Left R-modules. We introduce the concept WNQP submodule as new generalizations of weakly quasi prime submodule and give basic properties, examples and ...
Hero Jumaa Hassan +1 more
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RINGS WHOSE PRIME RADICALS ARE COMPLETELY PRIME [PDF]
Communications of the Korean Mathematical Society, 2005 We study in this note rings whose prime radicals are completely prime. We obtain equivalent conditions to the complete 2-primal-ness and observe properties of completely 2-primal rings, finding examples and counterexamples to the situations that occur naturally in the process.
KWANG-HO KANG +3 more
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The Prime Radical in Alternative Rings [PDF]
Proceedings of the American Mathematical Society, 1976 The characterization by J. Levitzki of the prime radical of an associative ring R R as the set of strongly nilpotent ...
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PRIME RADICALS IN UP-MONOID RINGS [PDF]
Bulletin of the Korean Mathematical Society, 2012 A monoid \(G\) is a `unique product monoid' (up-monoid) if for any two nonempty finite subsets \(A\) and \(B\) of \(G\), there is at least one \(c\in G\) which has a unique representation as \(c=ab\) with \(a\in A\) and \(b\in B\). Here the authors study the relationships between nil-related properties of a ring and those of the monoid ring \(RG ...
Cheon, Jeoung Soo, Kim, Jin-A
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Semicommutativity of the rings relative to prime radical [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2015 Summary: In this paper, we introduce a new kind of rings that behave like semicommutative rings, but satisfy yet more known results. This kind of rings is called \(P\)-semicommutative. We prove that a ring \(R\) is \(P\)-semicommutative if and only if \(R[x]\) is \(P\)-semicommutative if and only if \(R[x,x^{-1}]\) is \(P\)-semicommutative.
Kose, Handan, Ungor, Burcu
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Left permutable multiplicative sets and left strongly prime ideals in rings
Lietuvos Matematikos Rinkinys, 2008 Left permutable multiplicative sets S for an associative ring R are defined. Particularly, this notion includes commutative multiplicative sets of the associative ring.
Algirdas Kaučikas
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REVERSIBILITY OVER PRIME RADICALS
Korean Journal of Mathematics, 2014 Summary: The studies of reversible and \(2\)-primal rings have done important roles in noncommutative ring theory. We in this note introduce the concept of quasi-reversible-over-prime-radical (simply, QRPR) as a generalization of the \(2\)-primal ring property.
Jung, Da Woon, Lee, Yang, Sung, Hyo Jin
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