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Stability of C-regularized Semigroups
Acta Mathematica Sinica, English Series, 2004Let \(X\) be a Banach space, let \(T=\{T(t)\}_{t \geq 0}\) be a bounded \(C\)-regularized semigroup generated by \(A\), where \(C\) is a bounded injective linear operator on \(X\) such that \(R(C)\) is dense in \(X\). Denoting by \(\sigma_u(A, Cx)\) the set of all points \(\lambda \in i {\mathbb R}\) such that \((\lambda - A)^{-1}Cx\) cannot be ...
Li, Miao, Zheng, Quan
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Orders in completely regular semigroups
Mathematika, 2001A classic theorem of semigroup theory is that a semigroup \(S\) has a group of quotients if and only if it is reversible and cancellative. From the perspective of the group, it contains \(S\) as an ``order''. Generalizing from both this situation and from ring theory, a semigroup \(S\) is an order in another semigroup \(Q\) if every element in \(Q ...
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Fuzzy congruences on a regular semigroup
Fuzzy Sets and Systems, 2001The paper examines lattices of fuzzy equivalence relations [cf. \textit{L. A. Zadeh}, Inf. Sci. 3, 177-200 (1971; Zbl 0218.02058)] on a regular semigroup. In particular properties of the lattice of fuzzy congruences are considered. This is a continuation of a paper by \textit{M. A. Samhan} [Inf. Sci. 74, No. 1-2, 165-175 (1993; Zbl 0785.20034)].
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Semilattices of simple and regular n-ary semigroups
Semigroup Forum, 2023Jukkrit Daengsaen +1 more
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On Right Weakly Regular Semigroups of Generalized Bipolar Fuzzy Subsemigroups
Missouri Journal of Mathematical Sciences, 2021Pannawit Khamrot
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Left (Right) Regular Elements of Some Transformation Semigroups
Mathematics, 2023Worachead Sommanee, Ekkachai Laysirikul
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On completely regular and Clifford ordered semigroups
Afrika Matematika, 2020Kalyan Hansda, Anjan Kumar Bhuniya
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Inverse semigroup congruencel on regular semigroups
Acta Mathematica Academiae Scientiarum Hungaricae, 1969openaire +1 more source