Results 1 to 10 of about 2,276,382 (265)
Pure Ideals in Residuated Lattices [PDF]
Transactions on Fuzzy Sets and Systems, 2022 Ideals in MV algebras are, by definition, kernels of homomorphism. An ideal is the dual of a filter in some special logical algebras but not in non-regular residuated lattices.
Istrata Mihaela
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2014 As a generalization of right pure ideals, we introduce the notion of right П – pure ideals. A right ideal I of R is said to be П – pure, if for every a Î I there exists b Î I and a positive integer n such that an ≠ 0 and an b = an.
Shaimaa Ahmad
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Maximal Generalization of Pure Ideals [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 The purpose of this paper is to study the class of the rings for which every maximal right ideal is left GP-ideal. Such rings are called MGP-rings and give some of their basic properties as well as the relation between MGP-rings, strongly regular ring ...
Raida Mahmood, Awreng Mahmood
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On Tripolar Fuzzy Pure Ideals in Ordered Semigroups
International Journal of Analysis and Applications, 2022 Tripolar fuzzy sets are a concept that deals with tripolar information. This idea is a generalization of bipolar and intuitionistic fuzzy sets. In this paper, the notions of tripolar fuzzy pure ideals in ordered semigroups are introduced, and some ...
Nuttapong Wattanasiripong +3 more
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Some Results on Pure Ideals and Trace Ideals of Projective Modules [PDF]
Acta Mathematica Vietnamica, 2021 Let $R$ be a commutative ring with the unit element. It is shown that an ideal $I$ in $R$ is pure if and only if Ann$(f)+I=R$ for all $f\in I$. If $J$ is the trace of a projective $R$-module $M$, we prove that $J$ is generated by the ``coordinates" of $M$ and $JM = M$. These lead to a few new results and alternative proofs for some known results.
A. Tarizadeh
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Strongly Pure Ideals And Strongly Pure Sub-modules [PDF]
Kirkuk Journal of Science, 2015 Let R be aring with unity , and let M be an unitary R-module . In this work we present strongly pure ideal (submodule) concept as a generalization of pure ideal (submodule) . Also we generalize some properties of strongly pure ideal (submodule) .
Nada Khalid Abdullah
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Pure Ideals in Ordered Semigroups [PDF]
Kyungpook mathematical journal, 2014 Summary: The concepts of pure ideals, weakly pure ideals and purely prime ideals in ordered semigroups are introduced. We obtain some characterizations of pure ideals and prove that the set of all pure prime ideals is topologized.
Changphas, Thawhat +1 more
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On Rings Whose Principal Ideals are Generalized Pure Ideals [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 This paper , introduces the notion of a right PIGP-ring (a ring in which every principal ideal of R is a GP-ideal ) with some of their basic properties ; we also give necessary and sufficient conditions for PIGP-rings to be a division ring and a regular ...
Husam Mohammad
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International Mathematical ForumLet Ɍ be a ring then the ideal I known as right (left) strongly pure ideal if , for every x ∈ I there exist a prime element p ∈ I such that x = x. p(x = p. x) . And several properties of this class of ideals are discussed .
Khudher J. Khider
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Lexicographic shellability, matroids, and pure order ideals [PDF]
Advances in Applied Mathematics, 2015 In 1977 Stanley conjectured that the $h$-vector of a matroid independence complex is a pure $O$-sequence. In this paper we use lexicographic shellability for matroids to motivate a combinatorial strengthening of Stanley's conjecture. This suggests that a pure $O$-sequence can be constructed from combinatorial data arising from the shelling.
Klee, Steven, Samper, José Alejandro
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