Results 71 to 80 of about 24,434 (204)
On Characterization of Relatively Commutative Semigroups
This paper defines a novel semigroup construction, called a relatively commutative semigroup. A semigroup is called relatively commutative if there exist $k,r,t,s\in \mathbb{Z^{+}}$ and $x,y\in S$ such that $(ab)^{k}=b^{r}ax$ and $(ab)^{t}=yba^{s}$ for ...
Rasie Mekera, Didem Yeşil
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Non-commutative finite monoids of a given order n ≥ 4
For a given integer n=p1α1p2α2⋯pkαk$n = p_1^{\alpha _1 } p_2^{\alpha _2 } \cdots p_k^{\alpha _k }$ (k ≥ 2), we give here a class of finitely presented finite monoids of order n. Indeed the monoids Mon(π), where π=〈a1,a2,…,ak|aipiαi=ai, (i=1,2,…,k),aiai+
Ahmadi B., Campbell C.M., Doostie H.
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Centrally Image partition Regularity near 0 [PDF]
The notion of Image partition regularity near zero was first introduced by De and Hindman. It was shown there that like image partition regularity over $\mathbb{N}$ the main source of infinite image partition regular matrices near zero are Milliken ...
Dibyendu De +3 more
core
The regular radical of semigroup rings of commutative semigroups [PDF]
A description of regular group rings is well known (see [12]). Various authors have considered regular semigroup rings (see [17], [8], [10], [11], [4]). These rings have been characterized for many important classes of semigroups, although the general problem turns out to be rather difficult and still has not got a complete solution.
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The Global Glimm Property for C*‐algebras of topological dimension zero
Abstract We show that a C∗$C^*$‐algebra with topological dimension zero has the Global Glimm Property (every hereditary subalgebra contains an almost full nilpotent element) if and only if it is nowhere scattered (no hereditary subalgebra admits a finite‐dimensional representation). This solves the Global Glimm Problem in this setting.
Ping Wong Ng +2 more
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On regular and intra-regular poe-semigroups
This note follows a long series of papers of the same author on regular poe-semigroups [see e.g. ibid. 19, 111-121 (1980; Zbl 0434.06015); 23, 85-86 (1981; Zbl 0467.06010); 25, 213-222 (1982; Zbl 0499.06012); 28, 371-372 (1984; Zbl 0534.06006)]. The author establishes a characterization of le-semigroups which are intra-regular and of the intra-regular ...
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Noncommutative polygonal cluster algebras
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg +3 more
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Recognizing pro-R closures of regular languages
Given a regular language L, we effectively construct a unary semigroup that recognizes the topological closure of L in the free unary semigroup relative to the variety of unary semigroups generated by the pseudovariety R of all finite R-trivial ...
Almeida, Jorge +2 more
core
Multiple front and pulse solutions in spatially periodic systems
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
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The Relationship between Some Regular Subsemigroups of HypG2
The concept of regular subsemigroups plays an important role in the theory of semigroup. In this work, we study the relationship between some regular subsemigroups on the monoid of all generalized hypersubstitutions of type τ=(2).
Weerapong Wongpinit +1 more
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