Results 21 to 30 of about 2,833 (262)
Reduced zero-divisor graphs of posets [PDF]
Transactions on Combinatorics, 2018 This paper investigates properties of the reduced zero-divisor graph of a poset. We show that a vertex is an annihilator prime ideal if and only if it is adjacent to all other annihilator prime ideals and there are always two annihilator prime ideals ...
Deiborlang Nongsiang, Promode Saikia
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Characterizations of Fuzzy Ideals in Coresiduated Lattices
Advances in Mathematical Physics, 2016 The notions of fuzzy ideals are introduced in coresiduated lattices. The characterizations of fuzzy ideals, fuzzy prime ideals, and fuzzy strong prime ideals in coresiduated lattices are investigated and the relations between ideals and fuzzy ideals are ...
Yan Liu, Mucong Zheng
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Some Basic Properties of Completely Prime Ideals in Near Rings
Journal of Mathematical and Fundamental Sciences, 2015 In this investigation we studied completely prime, weakly completely prime, quasi completely prime and weakly quasi completely prime ideals in near-rings.
Pairote Yiarayong
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Rough Fuzzy Ideals Induced by Set-Valued Homomorphism in Ternary Semigroups
Journal of Function Spaces, 2022 The main objective of this paper is to characterize rough approximations of fuzzy ideals in ternary semigroups. Rough fuzzy ideals are used to deal with vague and incomplete information in decision-making problems.
Shahida Bashir +3 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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Some Basic Properties of Prime and Left Prime Ideals in Γ-Left Almost Rings
Walailak Journal of Science and Technology, 2018 The purpose of this paper is to introduce the notion of prime and left prime ideals in Γ-LA-rings. Some characterizations of prime, left prime, and weakly left ideals are obtained.
Pairote YIARAYONG
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Fermatean fuzzy semi-prime ideals of ordered semigroups
Topological Algebra and its Applications, 2023 Fermatean fuzzy sets (FFSs) are invented to resolve the underlying limitations of intuitionistic fuzzy sets and Pythagorean fuzzy sets. The major goal of this study is to introduce Fermatean fuzzy semi-prime ideals of ordered semigroups.
Adak Amal Kumar +2 more
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Weakly 2-Absorbing Ideals in Almost Distributive Lattices
Journal of Mathematics, 2022 The concepts of weakly 2-absorbing ideal and weakly 1-absorbing prime ideal in an almost distributive lattice (ADL) are introduced, and the necessary conditions for a weakly 1-absorbing prime ideal to become a weakly 2-absorbing ideal in algebraic form ...
Natnael Teshale Amare
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On S-2-Prime Ideals of Commutative Rings
MathematicsPrime ideals and their generalizations are crucial in numerous research areas, particularly in commutative algebra. The concept of generalization of prime ideals begins with the study of weakly prime ideals.
Sanem Yavuz +3 more
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First-Degree Prime Ideals of Biquadratic Fields Dividing Prescribed Principal Ideals
Mathematics, 2020 We describe first-degree prime ideals of biquadratic extensions in terms of the first-degree prime ideals of two underlying quadratic fields. The identification of the prime divisors is given by numerical conditions involving their ideal norms.
Giordano Santilli, Daniele Taufer
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