Automorphism-Extendable and Endomorphism-Extendable Modules
Journal of Mathematical Sciences, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Wold’s Theorem and Automorphic Factors of Endomorphisms
2018In this chapter, we discuss Wold’s theorem stating the existence of a decomposition of any isometry operator of a Hilbert space in a unitary part and a unilateral shift.
Sergey Bezuglyi, Palle E. T. Jorgensen
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Automorphism Groups and Endomorphism Semigroups of Groups B(m, n)
Algebra and Logic, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Extending and Lifting of Endomorphisms and Automorphisms of Modules over Non-Primitive HNP Rings
Lobachevskii Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Crossed Products by Semigroups of Endomorphisms and Groups of Partial Automorphisms
Canadian Mathematical Bulletin, 2003AbstractWe consider a class (A; S; α) of dynamical systems, where S is an Ore semigroup and α is an action such that each αs is injective and extendible (i.e. it extends to a non-unital endomorphism of the multiplier algebra), and has range an ideal of A.
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Formal Proof of Equivalence in Endomorphisms and Automorphisms over Strongly Connected Automata
2008 International Conference on Computer Science and Software Engineering, 2008Automata theory has played an important role in modeling behavior of systems since last couple of decades. The algebraic automaton has emerged with several modern applications because of having properties and structures from algebraic theory. Design of a complex system not only requires behavior but it also needs to model its functionality.
Nazir Ahmad Zafar +2 more
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The endomorphism monoids and automorphism groups of Cayley graphs of semigroups
Semigroup Forum, 2017The main result is the following: Let \(S\) be a monoid and \(C\) be a generating set of \(S\). Then the quotient group \(\mathrm{CPAut}_C(S)/\mathrm{ColAut}_C(S)\) is isomorphic to \(\Aut(S,C)\). Here, a graph endomorphism \(\varphi\) of \(\mathrm{Cay}(S,C)\), is called a color-permutable endomorphism of \(\mathrm{Cay}(S,C)\), if there exists \(\gamma\
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Automorphisms of the Bernoulli endomorphism and a class of skew-products
Ergodic Theory and Dynamical Systems, 1996AbstractWe consider a class of skew-products with base the one-sided two-shift equipped with the (½, ½)Bernoulli measure and fibre either or the circle. We give conditions for the first kind to be isomorphic to the base itself and use this result to establish an isomorphism with the base for the second kind when a certain irrationalis very well ...
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Textile systems and one-sided resolving automorphisms and endomorphisms of the shift
Ergodic Theory and Dynamical Systems, 2008AbstractTwo results on textile systems are obtained. Using these we prove that for any automorphism φ of any topologically-transitive subshift of finite type, if φ is expansive and φ or φ−1 has memory zero or anticipation zero, then φ is topologically conjugate to a subshift of finite type.
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On automorphisms and endomorphisms of Abelian groups
1962zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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