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A Novel Characterization of Fuzzy Soft Substructures in Quantales Theory
Complexity, Volume 2023, Issue 1, 2023., 2023 In this paper, we use an algebraic structure quantale and define the idea of fuzzy soft substructures as a generalization of fuzzy substructures in quantale. These fuzzy soft substructures include fuzzy soft subquantales, fuzzy soft ideals, fuzzy soft prime ideals, fuzzy soft semiprime ideals, and fuzzy soft primary ideals.
Saqib Mazher Qurashi +5 more
wiley +1 more source
New Types of Fuzzy Interior Ideals of Ordered Semigroups Based on Fuzzy Points [PDF]
Matrix Science Mathematic, 2017 Subscribing to the Zadeh’s idea on fuzzy sets, many researchers strive to identify the key attributes of these sets for new finding in mathematics. In this perspective, new types of fuzzy interior ideals called (∈, ∈ ∨qk)-fuzzy interior ideals of ordered
Faiz Muhammad Khan +3 more
doaj +1 more source
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
Anand Swaroop Prajapati +2 more
doaj +1 more source
Semiprime ideals in general lattices [PDF]
, 1989 The ring-theoretical concept of semiprime ideal is appropriately defined for lattices. We prove that an ideal I of a lattice L is semiprime iff I is the kernel of some homomorphisms of L onto a distributive lattice with zero. As a corollary we generalize
Rav, Yehuda
core +1 more source
Semiprime Novikov Algebras [PDF]
, 2022 We study prime and semiprime Novikov algebras. We prove that prime nonassociative Novikov algebra has zero nucleus and center. It is well known that an ideal of an alternative (semi)prime algebra is (semi)prime algebra.
Panasenko, A. S.
core +1 more source
S − k−prime and S − k−semiprime ideals of semirings [PDF]
, 2023 Let $R$ be a commutative ring and $S$ a multiplicatively closed subset of $R$. Hamed and Malek defined an ideal $P$ of $R$ disjoint with $S$ to be an $S$-prime ideal of $R$ if there exists an $s \in S$ such that for all $a, b \in R$ if $ab \in P$, then ...
Jituparna Goswami +5 more
core +1 more source
Fuzzy semiprime ideals in Gamma-rings
, 2010 In this paper, T. K. Dutta's and S. K. Sardar's semiprime ideal of Gamma-rings as a fuzzy semiprime ideal of a Gamma-rings via its operator rings was defined. Some characterizations of fuzzy semiprime ideal of Gamma-rings was obtained.
Ersoy, Bayram Ali
core +2 more sources
On Semiprime Noetherian PI-Rings [PDF]
, 2000 Let R be a semiprime Noetherian PI-ring and Q(R) the semisimple Artinian ring of fractions of R. We shall prove the following conditions are equivalent: (1) the Krull dimention of R is at most one, (2) Any ring between R and Q(R) is again right ...
Chiba, Katsuo
core +1 more source
Lie structure in semiprime superalgebras with superinvolution [PDF]
, 2007 In this paper we investigate the Lie structure of the Lie superalgebra K of skew elements of a semiprime associative superalgebra A with superinvolution.
Laliena, J. [0000-0001-8895-3591] +3 more
core +1 more source
Karakteristik Ideal Semiprima Fuzzy [PDF]
, 2018 A function is called as an fuzzy prime ideal if every fuzzy ideal of and satisfies caused or and a function is called as an fuzzy semiprime ideal if every fuzzy ideal of which requires caused .
Abdurahim, Abdurahim +4 more
core +1 more source