Results 11 to 20 of about 5,849,537 (288)
Some properties of 2-absorbing primary ideals in lattices
AKCE International Journal of Graphs and Combinatorics, 2019 We introduce the concepts of a primary and a 2-absorbing primary ideal and the radical of an ideal in a lattice. We study some properties of these ideals. A characterization for the radical of an ideal to be a primary ideal is given.
Meenakshi P. Wasadikar +1 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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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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Mathematics, 2021 The purpose of this paper is to introduce the concept of graded 2-prime ideals as a new generalization of graded prime ideals. We show that graded 2-prime ideals and graded semi-prime ideals are different.
Malik Bataineh, Rashid Abu-Dawwas
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Some notes on graded weakly 1-absorbing primary ideals
Demonstratio Mathematica, 2023 A proper graded ideal PP of a commutative graded ring RR is called graded weakly 1-absorbing primary if whenever x,y,zx,y,z are nonunit homogeneous elements of RR with 0≠xyz∈P0\ne xyz\in P, then either xy∈Pxy\in P or zz is in the graded radical of PP. In
Alshehry Azzh Saad +2 more
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PRIMARY ZARISKI TOPOLOGY ON THE PRIMARY SPECTRUM OF A MODULE [PDF]
Journal of Algebraic Systems, 2020 Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. We define the primary spectrum of $M$, denoted by $\mathcal{PS}(M)$, to be the set of all primary submodules $Q$ of $M$ such that $(\operatorname{rad}Q:M)=\sqrt{(Q:M ...
H. Bijari +2 more
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Generalizations of prime fuzzy ideals of a lattice [PDF]
Journal of Hyperstructures, 2020 As a generalization of the concepts of a fuzzy prime ideal and a prime fuzzy ideal, the concepts of a fuzzy 2-absorbingideal and a 2-absorbing fuzzy ideal of a lattice are introduced. Some results on such fuzzy ideals are proved.
Yogita Subhash Patil +1 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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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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Graded weakly 1-absorbing primary ideals
Demonstratio Mathematica, 2023 Let GG be a group and RR be a GG-graded commutative ring with nonzero unity 1. In this article, we introduce the concept of graded weakly 1-absorbing primary ideals which is a generalization of graded 1-absorbing primary ideal.
Bataineh Malik, Abu-Dawwas Rashid
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