Results 21 to 30 of about 175 (133)
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
[Retracted] Approximations of Intuitionistic Fuzzy Ideals over Dual Spaces by Soft Binary Relations
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The major advantage of this proposed work is to investigate roughness of intuitionistic fuzzy subsemigroups (RIFSs) by using soft relations. In this way, two sets of intuitionistic fuzzy (IF) soft subsemigroups, named lower approximation and upper approximation regarding aftersets and foresets, have been introduced.
Muhammad Zishan Anwar +4 more
wiley +1 more source
Cryptographic Accumulator and Its Application: A Survey
Security and Communication Networks, Volume 2022, Issue 1, 2022., 2022 Since the concept of cryptographic accumulators was first proposed in 1993, it has received continuous attention from researchers. The application of the cryptographic accumulator is also more extensive. This paper makes a systematic summary of the cryptographic accumulator.
Yongjun Ren +5 more
wiley +1 more source
2‐Prime Hyperideals of Multiplicative Hyperrings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. A proper hyperideal I of R is called 2‐prime if x∘y⊆I for some x, y ∈ R, then, x2⊆I or y2⊆I.
Mahdi Anbarloei, Xiaogang Liu
wiley +1 more source
Rough Fuzzy Ideals Induced by Set‐Valued Homomorphism in Ternary Semigroups
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The main objective of this paper is to characterize rough approximations of fuzzy ideals in ternary semigroups. Rough fuzzy ideals are used to deal with vague and incomplete information in decision‐making problems. In this research, approximations for fuzzy prime ideals in ternary semigroups are studied.
Shahida Bashir +4 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
On Prime and Semiprime Rings with Symmetric Generalized Biderivations
Al-Mustansiriyah Journal of Science, 2017 The propose of this paper is to present some results concerning the symmetric generalized Biderivations when their traces satisfies some certain conditions on an ideal of prime and semiprime rings.
Auday H. Mahmood +1 more
doaj +1 more source
Commutativity results for semiprime rings with derivations
International Journal of Mathematics and Mathematical Sciences, 1998 We extend a result of Herstein concerning a derivation d on a prime ring R satisfying [d(x),d(y)]=0 for all x,y∈R, to the case of semiprime rings. An extension of this result is proved for a two-sided ideal but is shown to be not true for a one-sided ...
Mohammad Nagy Daif
doaj +1 more source
ON JORDAN IDEAL IN PRIME AND SEMIPRIME INVERSE SEMIRINGS WITH CENTRALIZER
Al-Mustansiriyah Journal of Science, 2020 In this paper we recall the definition of centralizer on inverse semiring. Also introduce the definition of Jordan ideal and Lie ideal. Some results of M.A.Joso Vukman on centralizers on semiprime rings are generalized here to inverse semirings.
Rawnaq Khaleel Ibraheem +1 more
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 +2 more
doaj +1 more source