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Arcs in Locally Compact Groups. [PDF]
Gleason AM.
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Sets of lengths in maximal orders in central simple algebras.
Smertnig D.
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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, 1970Two 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, 2005Summary: 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, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radjavi, Heydar, Sourour, Ahmed Ramzi
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Groups, Semigroups, and Generators
1979Physical 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, 1998It 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, 1994Summary: 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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