Results 1 to 10 of about 147 (109)
Fuzzy bipolar soft semiprime ideals in ordered semigroups [PDF]
Heliyon, 2021 In this paper, we introduce fuzzy bipolar soft semiprimality in the structure of ordered semigroups and investigate some properties of the concept. Moreover, ordered semigroups and their some classes are characterized by means of fuzzy bipolar soft ...
Iftikhar Ahmad, Imtiaz Ahmad
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Generalized roughness of three dimensional ( $$\in ,\in \vee q$$ ∈ , ∈ ∨ q )-fuzzy ideals in terms of set-valued homomorphism [PDF]
Scientific ReportsThe objective of this study is to generalize the roughness of a fuzzy set-in three-dimensional structure by introducing ternary multiplication. Many results and theorems of rough fuzzy ideals have been extended from semigroup and semiring, to ternary ...
Shahida Bashir +5 more
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Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups [PDF]
The Scientific World Journal, 2014 The notions of union-soft semigroups, union-soft l-ideals, and union-soft r-ideals are introduced, and related properties are investigated. Characterizations of a union-soft semigroup, a union-soft l-ideal, and a union-soft r-ideal are provided.
Young Bae Jun +2 more
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Interval-Valued Semiprime Fuzzy Ideals of Semigroups
Advances in Fuzzy Systems, 2014 We introduce the notion of (i-v) semiprime (irreducible) fuzzy ideals of semigroups and investigate its different algebraic properties. We study the interrelation among (i-v) prime fuzzy ideals, (i-v) semiprime fuzzy ideals, and (i-v) irreducible fuzzy ...
Sukhendu Kar, Paltu Sarkar, Kostaq Hila
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Left ideals and derivations in semiprime rings
Journal of Algebra, 2004 Let \(R\) be a prime or semiprime ring with center \(Z(R)\), let \(L\) be a nonzero left ideal, and let \(D\) and \(E\) be nonzero derivations on \(R\). For \(S\subseteq R\), denote by \((S)\) the ideal generated by \(S\). The author explores the following conditions, suggested by a classic paper of \textit{E. C. Posner} [Proc. Am. Math. Soc.
Charles Lanski
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Notes on Semiprime Ideals with Symmetric Bi-Derivation
AxiomsIn this paper, we prove many algebraic identities that include symmetric bi-derivation in rings which contain a semiprime ideal. We intend to generalize previous results obtained for semiprime rings with symmetric derivation using semiprime ideals in ...
Ali Yahya Hummdi +3 more
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Picture fuzzy semi-prime ideals [PDF]
Journal of Fuzzy Extension and Applications, 2023 Picture Fuzzy Sets (PFSs) are expanded to include Intuitionistic Fuzzy Sets (IFSs), with the extra advantage of avoiding underlying limitations. PFS based models may be adequate in situations when we face opinions involving more answer of types: yes ...
Amal Adak, Manish Gunjan, Niwan Agarwal
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Symmetric Reverse n-Derivations on Ideals of Semiprime Rings
AxiomsThis paper focuses on examining a new type of n-additive map called the symmetric reverse n-derivation. As implied by its name, it combines the ideas of n-additive maps and reverse derivations, with a 1-reverse derivation being the ordinary reverse ...
Shakir Ali +4 more
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Lie Ideals and Homoderivations in Semiprime Rings
MathematicsLet S be a 2-torsion free semiprime ring and U be a noncentral square-closed Lie ideal of S. An additive mapping ℏ on S is defined as a homoderivation if ℏ(ab)=ℏ(a)ℏ(b)+ℏ(a)b+aℏ(a) for all a,b∈S. In the present paper, we shall prove that ℏ is a commuting
Ali Yahya Hummdi +4 more
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Prime bi-interior ideals of Γ-semirings [PDF]
Journal of Hyperstructures, 2023 In this paper, we introduce the notion of prime bi-interior ideal, bi-interior ideal,strongly prime bi-interior ideal,semiprime strongly irreducible bi-interior ideal and irreducible bi-interior ideal.we study these ideals properties and relation between
Marapureddy Murali Krishna Rao
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