Optimizations for regular and inverse semigroups
Inverse rings and inverse semigroups of ring homomorphisms
... An inverse semigroup is a semigroup S such that each element a has a unique inverse b such that aba, bab = ...is regular if for all a in S, there is b in S such that aba = ...
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Three Approaches to Inverse Semigroups
... to inverse semigroups — that via P-semigroups and related concepts, as espoused by McAlister — is, at its heart, an attempt to adapt to inverse semigroups certain methods that had ...
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Algebra in superextensions of inverse semigroups
... Claim 6.4. Each subgroup H in X has cardinality |H| ≤ 2. Proof. Assume X contains a subgroup H of cardinality |H| > 2. We lose no generality assuming that the subgroup H coincides with the maximal subgroup H e containing ...
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Topological graph inverse semigroups
... completely regular. (A topological space X is completely regular or Tychonoff if it is T 1 , and given any closed subset Y ⊆ X and any point x ∈ X \ Y , there is a continuous function f : X → [0, 1] ⊆ R ...
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Universal locally finite maximally homogeneous semigroups and inverse semigroups
... is regular, it follows that J ∗ is a completely 0-simple ...0-simple semigroups then (CS, v) is an amalgamation class, in the sense of Theorem ...to semigroups from ...
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Figa-Talamanca–Herz algebras for restricted inverse semigroups and Clifford semigroups
... 2. Restricted representations and the Banach algebra of p-pseudomeasures Let S be a discrete inverse semigroup. Parallel to the group case, many authors have defined the left regular representation of S on ...
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Generalized inverse semigroups of Green’s Fuzzy Relations
... of regular semigroups is an orthodox semigroup e special classes of orthodox semigroups are a ‘Generalized inverse ...generalized inverse semigroup. In the field of regular ...
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Interval valued fuzzy congruence on inverse semigroups
... an inverse semigroup S. Then S/δ is an inverse semigroup and δ a −1 , b −1 = δ (a, b) for all a, b ∈ ...an inverse semigroup so regular by Lemma 7 implies that there exist an element t ∈ S ...
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Dense ideal extensions of strict regular semigroups
... locally inverse semigroups which sat- isfy the property that for every S ∈ V has within V a maximal dense ideal ...locally inverse semigroups [15], (ii) the (existence) variety I of all ...
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Restricted Algebras on Inverse Semigroups—Part II: Positive Definite Functions
... L·ξ u ◦ s·, η u ◦ r· , 4.4 is a Hilbert C ∗ -module. The action of c 00 G on itself by left convolution extends to a ∗-anti representation of c 00 G in E 2 G, which is called the left regular representation of c ...
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Topological Graph Inverse Semigroups
... Moreover, for certain directed graphs E, G(E) admits a T 1 semigroup topology in which G(E) \ {0} is not discrete (Example 4). However, if E is a finite graph, then the only locally compact Hausdorff semigroup topology on ...
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Structure of regular semigroups
... Department of mathematics, Samara University, Semera, Afar Region, Ethiopia. Abstract: - This paper concerned with basic concepts and some results on (idempotent) semigroup satisfying the identities of three variables. ...
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Derivations and relation modules for inverse semigroups
... of inverse semigroups, generalizing a construction for groups due to ...free inverse semigroup, we can then define its relation module as the kernel of a canonical map from the derivation module to ...
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Presentations of inverse semigroups, their kernels and extensions
... an inverse semigroup and suppose that (S, π) is an exten- sion of K by T ...for inverse semigroup exten- ...to inverse semigroups without modification, and so we shall end up with a mixture of ...
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Special subgroups of regular semigroups
... of inverse transversal and associate subgroup, we consider a regular semigroup S with the property that there exists a subsemigroup T which contains, for each x ∈ S, a unique y such that both xy and yx are ...
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Epimorphisms, dominions and regular semigroups
... left[right] regular bands. Higgins [5] has shown that a generalized inverse subsemigroup of a semigroup satisfying a certain condition is closed in the containing ...a regular semigroup satisfying ...
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On closures in semitopological inverse semigroups with continuous inversion
... topological inverse semigroup S the map f : S → S : x → xx − 1 is continuous, the maximal subgroup of S is closed, and hence the closure of a subgroup of a topological inverse semigroup is a ...
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Brandt Extensions and Primitive Topological Inverse Semigroups
... We observe that for any topological Brandt λ-extension B λ S of a topological semigroup S there exist a topological monoid T with zero and a topological Brandt λ 0 -extension B λ 0 T of T, such that the semigroups ...
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On generators and presentations of semidirect products in inverse semigroups
... Investigation of finite generation and finite presentability of various constructions is one of the main areas of research in combinatorial semigroup theory. For example, finite generation and presentability of direct ...
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On Intra-regular Ordered Gamma-semigroups
... simple semigroups. Moreover, a po-Γ-semigroup M is intra-regular and the ideals of M form a chain if and only if the ideals of M are ...left regular po-Γ-semigroups into their left simple ...
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