Results 21 to 30 of about 23,078 (295)
Primary ideals and valuation ideals [PDF]
Transactions of the American Mathematical Society, 1965 Introduction. Let D be an integral domain with identity. In [2], Gilmer and Ohm considered the problem of characterizing domains D such that the set &2(D) of primary ideals of D is a subset of the set Y"(D) of valuation ideals of D. If the ascending chain condition (a.c.c.) for prime ideals holds in D, then &2(D) ' Y"(D) if and only if D is a Prilfer ...
Gilmer, R., Ohm, J.
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The integral closure of a primary ideal is not always primary
Journal of Symbolic Computation, 2023 10 pages, 6 ...
Nan Li +3 more
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Generalizations of graded S-primary ideals
, 2022 The goal of this article is to present the graded weakly S-primary ideals and graded g-weakly S-primary ideals which are extensions of graded weakly primary ideals.
Al-shorman, Tamem +2 more
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Generalized Rough Fuzzy Ideals in Quantales
Discrete Dynamics in Nature and Society, 2018 The paper examines the generalized rough fuzzy ideals of quantales. There are some intrinsic relations between fuzzy prime (primary) ideals of quantales and generalized rough fuzzy prime (primary) ideals of quantales.
Saqib Mazher Qurashi, Muhammad Shabir
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On 2r-ideals in commutative rings with zero-divisors
Open Mathematics, 2023 In this article, we are interested in uniformly prpr-ideals with order ≤2\le 2 (which we call 2r2r-ideals) introduced by Rabia Üregen in [On uniformly pr-ideals in commutative rings, Turkish J. Math. 43 (2019), no. 4, 18781886]. Several characterizations
Alhazmy Khaled +3 more
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On the Embedded Primary Components of Ideals (IV) [PDF]
Transactions of the American Mathematical Society, 1995 The results in this paper expand the fundamental decomposition theory of ideals pioneered by Emmy Noether. Specifically, let I I
Heinzer, William +2 more
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Some results on ideals via homomorphisms in BL-algebras [PDF]
Journal of HyperstructuresIn this paper, by considering the σ as a BL-homomorphism,we introduce the notion of σ-ideals in BL-algebras and obtain some new results about them. Also, while introducing the primary ideals in BL-algebras, we get some relationship between the primary ...
Fateme Alinaghian +2 more
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Different types of primary ideals of near-rings and their graphs [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2023 In the last few decades, studies of graph theory based on algebraic structures have been pursued. Many studies have inspected graphs via groups, rings, near-rings, and seminear-rings, and vice versa. In our study, first we introduce different type of υ-
Adnan Muhammad +2 more
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Polyocollection ideals and primary decomposition of polyomino ideals
, 2023 In this article, we study the primary decomposition of some binomial ideals. In particular, we introduce the concept of polyocollection, a combinatorial object that generalizes the definitions of collection of cells and polyomino, that can be used to ...
Navarra, Francesco +2 more
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n-absorbing I-primary ideals in commutative rings
Tikrit Journal of Pure Science, 2023 We define a new generalization of n-absorbing ideals in commutative rings called n-absorbing I-primary ideals. We investigate some characterizations and properties of such new generalization. If P is an n-absorbing I-primary ideal of R and √IP=I√P, then
Sarbast A. Anjuman, Ismael Akray
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