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Viêt Trung . Problems and algorithms for affine semigroups . Semigroup Forum , 64 ( 2 ): 180 – 212 , 2002 . [13] Winfried Bruns and Robert Koch . Normaliz, computing normalizations of affine semigroups . [14] J. W. S . Cassels . An introduction
of quasi-adequate semigroups , Comm. Algebra , 40 ( 3 ), 905 - 930 ( 2012 ) [3] Blyth , T. S. and McFadden , R. , Regular semigroups with a multiplicative inverse
References [1] Amini , M. , Medghalchi , A. R. 2004 Fourier algebras on topological foundation ∗-semigroups Semigroup Forum 68 322 – 334 10.1007/s00233
operator semigroups . Semigroup Forum 103 , 3 ( 2021 ), 791 – 811 . [5] Babalola , V. A . Semigroups of operators on locally convex spaces . Trans. Am. Math. Soc . 199 ( 1974 ), 163 – 179 . [6] Bátkai , A ., Eisner , T ., and Latushkin , Y
In this paper,P-ordered andQ-ordered semigroups are studied. Some characterizations and properties of such semigroups are obtalned. Also the relationship between maximal (minimum) regular ordered semigroups and unitary regular semigroups is investigated.
Abstract
The purpose of this paper is to describe the structures of the Möbius semigroup induced by the Möbius transformation group (ℝ, SL(2,ℝ)). In particular, we study stabilizer subsemigoups of Möbius semigroup via the triangle semigroup. In this work, we obtained a geometric interpretation of the least contraction coefficient function of the Möbius semigroup via the triangle semigroup and investigated an extension of stabilizer subsemigoups of the Möbius semigroup. Finally, we obtained a factorization of our stabilizer subsemigoups of the Möbius semigroup.
Abstract
Two semigroups are called strongly Morita equivalent if they are contained in a Morita context with unitary bi-acts and surjective mappings. We consider the notion of context equivalence which is obtained from the notion of strong Morita equivalence by dropping the requirement of unitariness. We show that context equivalence is an equivalence relation on the class of factorisable semigroups and describe factorisable semigroups that are context equivalent to monoids or groups, and semigroups with weak local units that are context equivalent to inverse semigroups, orthodox semigroups or semilattices.
Abstract
In this paper we study the congruences of *-regular semigroups, involution semigroups in which every element is p-related to a projection (an idempotent fixed by the involution). The class of *-regular semigroups was introduced by Drazin in 1979, as the involutorial counterpart of regular semigroups. In the standard approach to *-regular semigroup congruences, one ,starts with idempotents, i.e. with traces and kernels in the underlying regular semigroup, builds congruences of that semigroup, and filters those congruences which preserve the involution. Our approach, however, is more evenhanded with respect to the fundamental operations of *-regular semigroups. We show that idempotents can be replaced by projections when one passes from regular to *-regular semigroup congruences. Following the trace-kernel balanced view of Pastijn and Petrich, we prove that an appropriate equivalence on the set of projections (the *-trace) and the set of all elements equivalent to projections (the *-kernel) fully suffice to reconstruct an (involution-preserving) congruence of a *-regular semigroup. Also, we obtain some conclusions about the lattice of congruences of a *-regular semigroup.
multipliers for the Laguerre semigroup Houston J. Math. 27 579 – 592 . [11] Harboure , E. , Rosa de , L. , Segovia , C. , Torrea , J. L. 2004 L p -dimension free boundedness for Riesz
matrices , to appear in J. Alg. Appl . [3] Bernik , J. , Grunenfelder , L. , Mastnak , M. , Radjavi , H. , Troitsky , V. G. 2005 On semitransitive collections of operators Semigroup
