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An Algebraic Structure of Type‐2 Soft Sets: Type‐(1,2) Soft Groups

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
Recently, many researchers have been studying the algebraic structures of soft sets such as soft semigroups, soft groups, soft rings, etc., and they have obtained some properties of these structures by considering the properties of classical algebraic structures. However, the algebraic structures of Type‐2 soft sets are still in their infancy.
Fouzia Musbah Farag Abdualhamid   +2 more
wiley   +1 more source

A SUBCLASS OF BAER IDEALS AND ITS APPLICATIONS [PDF]

open access: yesJournal of Algebraic Systems
An ideal $I$ of a ring $R$ is called a right strongly Baer ideal if $r(I)=r(e)$, where $e$ is an idempotent, and there are right semicentral idempotents $e_{i}$ ($1\leq i\leq n$) with $ReR=Re_{1}R\cap Re_{2}R\cap...\cap Re_{n}R$ and each ideal $Re_{i}R ...
Zainab Gharabagi, Ali Taherifar
doaj   +1 more source

Permuting Generalized f‐Triderivations on Lattices

open access: yesJournal 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   +3 more
wiley   +1 more source

Sums of semiprime, 𝑧, and 𝑑𝑙-ideals in a class of 𝑓-rings

open access: yes, 1990
In this paper it is shown that there is a large class of f f -rings in which the sum of any two semiprime l l -ideals is semiprime.
Suzanne Larson
core   +1 more source

Characterizations of completely ordered k-regular semirings [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2019
We introduce the notion of a completely ordered k-regular semiring as a generalization of a completely regular ordered semiring and characterize it using its ordered k-ideals.
Pakorn Palakawong na Ayutthaya   +1 more
doaj   +1 more source

Additivity and Central Behavior of CE‐Generalized Homoderivations in Associative Rings

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This study examines the commutativity of a ring R endowed with a special class of mappings termed centrally extended generalized homoderivations. These mappings serve as an extension of several existing concepts, including homoderivations, generalized homoderivations, and left centralizers.
Hicham Saber   +6 more
wiley   +1 more source

Sums of Semiprime, Z, and D L-Ideals in a Class of F-Rings [PDF]

open access: yes, 1990
In this paper it is shown that there is a large class of f-rings in which the sum of any two semiprime i-ideals is semiprime. This result is used to give a class of commutative f-rings with identity element in which the sum of any two z-ideals which are ...
Larson, Suzanne
core  

On fuzzy soft bi-ideals over semigroups [PDF]

open access: yesSongklanakarin 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  

On the generalization of torsion functor and P-semiprime modules over noncommutative rings [PDF]

open access: yesJournal of Hyperstructures
Let R be an associative Noetherian unital noncommutative ring R. We introduce the functor PΓP over the category of R-modules and use it to characterize P-semiprime. P-semisecond R-modules also characterized by the functor PΛP.
Teklemichael Bihonegn   +2 more
doaj   +1 more source

On the Structure of Near‐Rings via P‐Semiderivations

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces the concept of a P‐semiderivation on a near‐ring N, which serves as a generalization of the classical notion of a semiderivation. We investigate the fundamental properties of P‐semiderivations in relation to a nonempty subset P⊆N. The study primarily focuses on the structure of 3‐prime near‐rings that admit such mappings.
Ali Yahya Hummdi   +4 more
wiley   +1 more source

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