Results 31 to 40 of about 168 (124)

New characterization theorems of the mp-quantales [PDF]

Journal of Fuzzy Extension and Applications, 2021
The mp-quantales were introduced in a previous paper as an abstraction of the lattices of ideals in mp-rings and the lattices of ideals in conormal lattices. Several properties of m-rings and conormal lattices were generalized to mp-quantales.
George Georgescu
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Prime Ideal, Semiprime Ideal, and Radical of an Ideal of an L-Subring

Fuzzy Information and Engineering, 2023
In this paper, we develop a systematic theory for the ideals of an L-ring L(μ, R). We introduce the concepts of a prime ideal, a semiprime ideal, and the radical of an ideal in an L-ring. The notion of a maximal ideal has been introduced and discussed in different studies. We prove several results pertaining to these notions which are versions of their
Anand Swaroop Prajapati, Naseem Ajmal, Iffat Jahan   +2 more
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Semiprime ideals in $C^{*}$-algebras

Journal of the European Mathematical Society
We show that a not necessarily closed ideal in a C^{*} -algebra is semiprime if and only if it is idempotent, if and only if it is closed under square roots of positive elements. Among other things, it follows that prime and semiprime ideals in
Eusebio Gardella, Kan Kitamura, Hannes Thiel   +2 more
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A Characterization of semiprime ideals in near-rings [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1982
AbstractIt is well known that in any near-ring, any intersection of prime ideals is a semiprime ideal. The aim of this paper is to prove that any semiprime ideal I in a near-ring N is the intersection of all minimal prime ideals of I in N. As a consequence of this we have any seimprime ideal I is the intersectionof all prime ideals containing I.
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Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals

Journal of Applied Mathematics, 2014
The concept of non-k-quasi-coincidence of an interval valued ordered fuzzy point with an interval valued fuzzy set is considered. In fact, this concept is a generalized concept of the non-k-quasi-coincidence of a fuzzy point with a fuzzy set.
Jian Tang, Xiangyun Xie, Yanfeng Luo
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Permuting Generalized f‐Triderivations on Lattices

Journal of Mathematics, Volume 2026, Issue 1, 2026.
G. Szász initially proposed the idea of lattice derivation, and it has since been revived in the study of other problems in various branches of mathematics and applied sciences. The intention of the current research is to examine the structure of permuting generalized f‐triderivation linked with permuting f‐triderivation on lattice T,∧,∨ and to provide
Areej Almuhaimeed, Faiza Shujat, Abu Zaid Ansari, Pramita Mishra   +3 more
wiley   +1 more source

On fuzzy soft bi-ideals over semigroups [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2015
The aim of this paper is to study fuzzy soft bi-ideals over semigroups and give some properties of prime, strongly prime and semiprime fuzzy soft bi-ideals over semigroups.
Manoj Siripitukdet, Peerapong Suebsan
doaj  

Semi r-ideals of commutative rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
For commutative rings with identity, we introduce and study the concept of semi r-ideals which is a kind of generalization of both r-ideals and semiprime ideals.
Khashan Hani A., Celikel Ece Yetkin
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BIDERIVATIONS ON IDEALS IN SEMIPRIME SEMIRINGS

International Journal of Pure and Apllied Mathematics, 2015
Motivated by some works on derivations on rings, Chandramouless- waran and Thiruveni discussed the notion of derivations on semirings. In this paper, we discuss the notion Biderivations on ideals in semiprime semirings and prove some simple properties.
S.P.N. Devi, V. Thiruveni
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On f - prime radical in ordered semigroups

Open Mathematics, 2018
In this paper, we introduce the concepts of f-prime ideals, f-semiprime ideals and f-prime radicals in ordered semigroups. Furthermore, some results on f-prime radicals and f-primary decomposition of an ideal in an ordered semigroup are obtained.
Gu Ze
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