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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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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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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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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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On dense left ideal pure $S$-acts
پژوهشهای ریاضی, 2021 In this paper, similar to the Lembek's idea concerning a generalization of the notion of purity associated with a radical in the category of R-modules, we give the notion of purity related to a Hoehnke radical, d.l.i.pure, in the category of $S$-acts and
mahdieh Haddadi +1 more
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On Rings Whose Principal Ideals are Pure [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2006 In this work, we study rings whose every principal ideal is a right pure. We give some properties of right PIP – rings and the connection between such rings and division rings.
Shaimaa Ahmad
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PILP-rings and fuzzy ideals [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 In this paper, we study rings whose principal right ideals are left pure. Also we shall introduce the concept of a fuzzy bi-ideal in a ring, and give some properties of such fuzzy ideals. We also give a characterization of whose principal right ideal are
Raida Mahmood
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2020 An ideal I of a ring R is said to be right (left) Pure if for every , there is such that . A ring R is said to be right (left) MP-ring, if every maximal right (left) ideal of R is a left (right) pure.
Raida Mahmood, Azhar Hajo
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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
openaire +2 more sources
On Generalized PF – Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2004 The aim of this paper is to extend several known results on GPF –rings. π-regular rings, PF-rings and GP-ideals are also considered. Among other results we prove that: If R is a uniform ring, then R is a GPF-ring if and only if every element of R is ...
Nazar Shuker, Husam Mohammad
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