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Commutative Semigroups Obtained by an Abelian Group and a Generalized φ-Function

Commutative Semigroups Obtained by an Abelian Group and a Generalized φ-Function
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Quasistochastic semigroup as a generalized group

Soviet Physics Journal, 1970
Two representations of the hyperbolic-tangent semigroup (HTS) are discussed: the group representation (the Lorentz group) and the semigroup representation (the quasistochastic semigroup of relativistic endomorphisms-QSRE). Through a generalization of the condition for regular conjugation, it is established that the QSRE is, in a certain sense, a ...
V. V. Yudin, A. D. Ershov
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FINITARY POWER SEMIGROUPS OF INFINITE GROUPS ARE NOT FINITELY GENERATED

Bulletin of the London Mathematical Society, 2005
Summary: For a semigroup \(S\), the finitary power semigroup of \(S\), denoted \(P_f(S)\), consists of all finite subsets of \(S\) under the usual multiplication. The main result of this paper asserts that \(P_f(G)\) is not finitely generated for any infinite group \(G\).
Gallagher, Peter, Ruškuc, Nik
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Groups and semigroups generated by a single unitary orbit

Semigroup Forum, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radjavi, Heydar, Sourour, Ahmed Ramzi
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Groups, Semigroups, and Generators

1979
Physical theories consist essentially of two elements, a kinematical structure describing the instantaneous states and observables of the system, and a dynamical rule describing the change of these states and observables with time. In the classical mechanics of point particles a state is represented by a point in a differentiable manifold and the ...
Ola Bratteli, Derek W. Robinson
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Semigroups generated by a group and an idempotent

Communications in Algebra, 1998
It is well known that the semigroup of all transformations on a finite set X of order n is generated by its group of units, the symmetric group, and any idempotent of rank n − 1. Similarly, the symmetric inverse semigroup on X is generated by its group of units and any idempotent of rank n − 1 while the analogous result is true for the semigroup of all
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Semigroups of Operators and Polynomials of Generators of Bounded Strongly Continuous Groups

Proceedings of the London Mathematical Society, 1994
Summary: Let \(iA_ j\) \((1\leq j\leq n)\) be commuting generators of bounded strongly continuous groups, \(P(A)= \sum_{| \alpha| \leq m} a_ \alpha A^ \alpha\) \((A^ \alpha= A_ 1^{\alpha_ 1} \dots A_ n^{\alpha_ n})\). By a constructive method, we show that \(P(A)\) generates an analytic semigroup, integrated semigroup or \(C\)-semigroup under different
Lei, Yansong, Yi, Wanhua, Zheng, Quan
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Generators for a subgroup of finite index in the unit group of an integral semigroup ring

Journal of Group Theory, 2004
This paper is concerned with the unit group \(U_S\) of an integral semigroup ring \(\mathbb{Z} S\) of a finite semigroup \(S\). If \(\mathbb{Q} S\) is semisimple, then finitely many units \(u\in U_S\) with \([U_S:\langle u\rangle]
Dooms, Ann, Jespers, Eric
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On the generation of convolution semigroups on arbitrary locally compact groups II

Archiv der Mathematik, 1977
In his paper [4] G. A. Hunt described the generating functional of a convolution semigroup on a Lie group (representation theorem). Furthermore he has shown that conversely certain functionals determine convolution semigroups (generation theorem). V~. Hazod [2] extended these results to arbitrary locally compact groups by Lie gToup approximation. In [5]
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Actions of Finitely Generated Groups and Semigroups on a Plane by Means of Isometries

Mathematical Notes, 2004
Let \(G\) be a countable finitely generated group or semigroup equipped with a fixed set of generators, e.g., a group of isometries of an affine Euclidean plane. The author studies conditions under which orbits of the action of the group \(G\) are uniformly distributed and gives a criterion for every orbit to be dense.
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