Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup by Alireza Medghalchi

“…We show that a left cancellative semigroup S is left amenable if and only if there is a nonzero compact (or weakly compact) multiplier on L(S)**. …”
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A simplification of D'Alarcao's idempotent separating extensions of inverse semigroups by Constance C. Edwards

Subjects: “…inverse semigroup and idempotent-separating extension.…”
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A spectral mapping theorem for semigroups solving PDEs with nonautonomous past by Genni Fragnelli

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Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces by Zhi-bin Liu, Yi-shen Chen, Xue-song Li, Yi-bin Xiao

“…This paper is devoted to the convergence of the implicit Ishikawa iteration processes for approximating a common fixed point of nonexpansive semigroup in CAT(0) spaces. We obtain the Δ-convergence results of the implicit Ishikawa iteration sequences for a family of nonexpansive mappings in CAT(0) spaces. …”
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An Application of Sombor Index over a Special Class of Semigroup Graph by Seda Oğuz Ünal

“…In this study, the Sombor index of monogenic semigroup graphs, which is an important class of algebraic structures, is calculated.…”
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Multiplicative Perturbations of Convoluted C-Cosine Functions and Convoluted C-Semigroups by Fang Li, Huiwen Wang, Jun Zhang

“…We obtain the multiplicative perturbation theorems for convoluted C-cosine functions (resp., convoluted C-semigroups) and n-times integrated C-cosine functions (resp., n-times integrated C-semigroups) for n∈ℕ. …”
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On Pseudo-contractibility and Ultra Central Approximate Identity of Some Semigroup Algebras by Amir Sahami, Seyedeh Fatemeh Shariati

“…Also, we prove that for a left cancellative regular semigroup S, ℓ1S∗∗ has an ultra central approximate identity if and only if S is a group. …”
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A Hesitant Fuzzy Set Approach to Ideal Theory in Γ-Semigroups by Mohammad Y. Abbasi, Aakif F. Talee, Sabahat A. Khan, Kostaq Hila

“…We apply the hesitant fuzzy sets theory to Γ-semigroups and provide some characterizations of hesitant fuzzy left (right and bi-) ideals. …”
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Rough Fuzzy Ideals Induced by Set-Valued Homomorphism in Ternary Semigroups by Shahida Bashir, Muhammad Aslam, Rabia Mazhar, Junaid Asghar

“…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. …”
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An Extension of a result of Csiszar by P. B. Cerrito

Subjects: “…topological semigroup…”
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A new characterization of B-bounded semigroups with application to implicit evolution equations by Luisa Arlotti

“…Belleni Morante recently introduced and called B-bounded semigroups. We first determine all the properties possessed by a couple (A,B) of operators if they generate a B-bounded semigroup (Y(t))t≥0. …”
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A Note on Isomorphism Theorems for Semigroups of Order-Preserving Transformations with Restricted Range by Phichet Jitjankarn, Thitarie Rungratgasame

“…Finding necessary and sufficient conditions for isomorphism between two semigroups of order-preserving transformations over an infinite domain with restricted range was an open problem. …”
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Lagrangians, Gauge Functions, and Lie Groups for Semigroup of Second-Order Differential Equations by Z. E. Musielak, N. Davachi, M. Rosario-Franco

“…A set of linear second-order differential equations is converted into a semigroup, whose algebraic structure is used to generate novel equations. …”
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Approximation for the Hierarchical Constrained Variational Inequalities over the Fixed Points of Nonexpansive Semigroups by Li-Jun Zhu

“…The purpose of the present paper is to study the hierarchical constrained variational inequalities of finding a point x* such that x*∈Ω,〈(A-γf)x*-(I-B)Sx*,x-x*〉≥0,  ∀x∈Ω, where Ω is the set of the solutions of the following variational inequality: x*∈Ϝ,〈(A-S)x*,x-x*〉≥0,  ∀x∈Ϝ, where A,B are two strongly positive bounded linear operators, f is a ρ-contraction, S is a nonexpansive mapping, and Ϝ is the fixed points set of a nonexpansive semigroup {T(s)}s≥0. We present a double-net convergence hierarchical to some elements in Ϝ which solves the above hierarchical constrained variational inequalities.…”
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Magnifying Elements in Semigroups of Fixed Point Set Transformations Restricted by an Equivalence Relation by Thananya Kaewnoi, Ronnason Chinram, Montakarn Petapirak

“…For a nonempty subset S of X, we denote the semigroup of transformations restricted by an equivalence relation ρ fixing S pointwise by EFSX,ρ. …”
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Characterizations of Ordered Semigroups by New Type of Interval Valued Fuzzy Quasi-Ideals by Jian Tang, Xiangyun Xie, Yanfeng Luo

“…By using this new concept, we introduce the notion of interval valued (∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals of ordered semigroups and study their related properties. In addition, we also introduce the concepts of prime and completely semiprime interval valued (∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals of ordered semigroups and characterize bi-regular ordered semigroups in terms of completely semiprime interval valued (∈¯,∈¯∨qk~¯)-fuzzy quasi-ideals. …”
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Relationship between ideals of BCI-algebras and order ideals of its adjoint semigroup by Michiro Kondo

“…We consider the relationship between ideals of a BCI-algebra and order ideals of its adjoint semigroup. We show that (1) if I is an ideal, then I=M−1(M(I)), (2) M(M−1(J)) is the order ideal generated by J∩R(X), (3) if X is a BCK-algebra, then J=M(M−1(J)) for any order ideal J of X, thus, for each BCK-algebra X there is a one-to-one correspondence between the set ℐ(X) of all ideals of X and the set 𝒪(X) of all order ideals of it, and (4) the order M(M−1(J)) is an order ideal if and only if M−1(J) is an ideal. …”
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Convergence to Common Fixed Point for Generalized Asymptotically Nonexpansive Semigroup in Banach Spaces by Yali Li, Jianjun Liu, Lei Deng

“…Let K be a nonempty closed convex subset of a reflexive and strictly convex Banach space E with a uniformly Gâteaux differentiable norm, ℱ={T(h):h≥0} a generalized asymptotically nonexpansive self-mapping semigroup of K, and f:K→K a fixed contractive mapping with contractive coefficient β∈(0,1). …”
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Concave Soft Sets, Critical Soft Points, and Union-Soft Ideals of Ordered Semigroups by Young Bae Jun, Seok Zun Song, G. Muhiuddin

“…The notions of union-soft semigroups, union-soft l-ideals, and union-soft r-ideals are introduced, and related properties are investigated. …”
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Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals by Sana Habib, Kashif Habib, Violeta Leoreanu-Fotea, Faiz Muhammad Khan

Subjects: “…possibility multi-fuzzy soft ordered semigroup…”
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