Results 31 to 40 of about 474 (163)
Open Mathematics, 2022 Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively).
Guo Junying, Guo Xiaojiang
doaj +1 more source
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
Centrally Extended α‐Homoderivations on Prime and Semiprime Rings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 We present a new type of mappings called centrally extended α‐homoderivations of a ring ℜ (i.e., a map H from ℜ into ℜ which satisfies H(x + y) − H(x) − H(y) ∈ Z(ℜ) and H(xy) − H(x)H(y) − H(x)α(y) − α(x)H(y) ∈ Z(ℜ) for any x, y ∈ ℜ) where α is a mapping of ℜ and discuss the relationship between these mappings and other related mappings.
Mahmoud M. El-Soufi +2 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
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
The derived superalgebra of skew elements of a semiprime superalgebra with superinvolution [PDF]
, 2014 In this paper we investigate the Lie structure of the derived Lie superalgebra [K, K], with K the set of skew elements of a semiprime associative superalgebra A with superinvolution. We show that if U is a Lie ideal of [K, K], then either there exists an
Laliena, J. [0000-0001-8895-3591]
core +1 more source
S − k−prime and S − k−semiprime ideals of semirings
, 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
Prime(Semiprime) Fuzzy h-ideal in Γ-hemiring
, 2011 The notions of prime(semiprime) fuzzy h-ideal(h-biideal, h-quasi-ideal) in Γ-hemiring are introduced and some of their characterizations are obtained by using "belongingness(∈)" and "quasi - coincidence(q)".
Debabrata Mandal, Sujit Kumar Sardar
core +1 more source
, 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
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 +2 more
doaj +1 more source