Results 21 to 30 of about 14,100 (198)
Discussiones Mathematicae - General Algebra and Applications, 2020 This note is written to show that the definition of the LA- Γ -hypersemi-group and the definition of the ordered LA- Γ -hypersemigroup in [2] should be corrected and that it is not enough to replace the “Γ” of the ordered LA-Γ-semigroup by “◦ Γ ◦” to ...
Kehayopulu Niovi
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Right derivations on ordered semigroups [PDF]
Journal of Hyperstructures, 2019 Over the last few decades, several authors have investigated the relationship between the commutativity of ring R and the existence of certain specified derivations of R.
M. Murali Krishna Rao
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Fiat categorification of the symmetric inverse semigroup IS_n and the semigroup F^*_n [PDF]
, 2017 Starting from the symmetric group $S_n$, we construct two fiat $2$-categories. One of them can be viewed as the fiat "extension" of the natural $2$-category associated with the symmetric inverse semigroup (considered as an ordered semigroup with respect ...
Martin, Paul, Mazorchuk, Volodymyr
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Nagoya Mathematical Journal, 1960 1. Introduction. In this paper order will always mean linear or total order, and, unless otherwise stated, the composition of any semigroup will be denoted by +.
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Square Roots and Continuity in Strictly Linearly Ordered Semigroups on Real Intervals [PDF]
, 2014 In this article we show that the semigroup operation of a strictly linearly ordered semigroup on a real interval is automatically continuous if each element of the semigroup admits a square root.
Glück, Jochen
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Zappa-Sz\'ep products of semigroups and their C*-algebras [PDF]
, 2014 Zappa-Sz\'ep products of semigroups encompass both the self-similar group actions of Nekrashevych and the quasi-lattice-ordered groups of Nica. We use Li's construction of semigroup $C^*$-algebras to associate a $C^*$-algebra to Zappa-Sz\'ep products and
Brownlowe, Nathan +3 more
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Ordered inverse semigroups [PDF]
Transactions of the American Mathematical Society, 1971 In this paper, we consider two questions: one is to characterize the structure of ordered inverse semigroups and the other is to give a condition in order that an inverse semigroup is orderable. The solution of the first question is carried out in terms of three types of mappings.
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Semigroup Forum, 2009 A semigroup algebra \(kS\) admits a total ordering if and only if the field \(k\) is formally real and \(S\) is a cancellative orderable semigroup. The case of \(*\)-orderability of \(kS\) is much harder. The notion of a \(*\)-ordering has been extended from division rings to general noncommutative rings in a series of papers by \textit{M.
Klep, Igor, Moravec, Primož
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Nuclearity of semigroup C*-algebras and the connection to amenability [PDF]
, 2012 We study C*-algebras associated with subsemigroups of groups. For a large class of such semigroups including positive cones in quasi-lattice ordered groups and left Ore semigroups, we describe the corresponding semigroup C*-algebras as C*-algebras of ...
Li, Xin
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NORMALLY ORDERED SEMIGROUPS [PDF]
Glasgow Mathematical Journal, 2008 AbstractIn this paper we introduce the notion of normally ordered block-group as a natural extension of the notion of normally ordered inverse semigroup considered previously by the author. We prove that the classNOSof all normally ordered block-groups forms a pseudovariety of semigroups and, by using the Munn representation of a block-group, we deduce
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