Results 21 to 30 of about 233,918 (277)

Expansions of Prime Ideals

Rocky Mountain Journal of Mathematics, 2005
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Malcolmson, P., Okoh, F.
openaire   +2 more sources

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
doaj   +1 more source

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
doaj   +1 more source

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, Nilkamal, Barman Navendu   +2 more
doaj   +1 more source

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
doaj   +1 more source

Associated Prime Ideal and Minimal Prime Ideal of an Ideal of an L-Subring

Fuzzy Information and Engineering, 2023
In this paper, a systematic theory for the ideals of an L-ring L(μ,R) has been developed. Earlier the authors have introduced the concepts of prime ideals, semiprime ideals, primary ideals, and radical of an ideal in an L-ring.
Anand Swaroop Prajapati, Naseem Ajmal, Iffat Jahan   +2 more
doaj   +1 more source

Prime bi-interior ideals of Γ-semirings [PDF]

Journal of Hyperstructures, 2023
In this paper, we introduce the notion of prime bi-interior ideal, bi-interior ideal,strongly prime bi-interior ideal,semiprime strongly irreducible bi-interior ideal and irreducible bi-interior ideal.we study these ideals properties and relation between
Marapureddy Murali Krishna Rao
doaj   +1 more source

On S-2-Prime Ideals of Commutative Rings

Mathematics
Prime 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, Bayram Ali Ersoy, Ünsal Tekir, Ece Yetkin Çelikel   +3 more
doaj   +1 more source

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
doaj   +1 more source

Anti fuzzy ideal extension of semigroups [PDF]

Journal of Hyperstructures, 2012
In this paper the concepts of anti fuzzy l-prime ideals, anti fuzzy semiprime ideals and anti fuzzy ideal extensions in asemigroup have been introduced. They are found to satisfy characteristic function criterion and anti level subset criterion.
S. Kumar Majumder, P. Pal, S. K. Sardar
doaj   +1 more source