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Inverse semigroups determined by their partial automorphism monoids
Inverse semigroups partial automorphism monoids Rings and Algebras
2011/9/20
Abstract: The partial automorphism monoid of an inverse semigroup is an inverse monoid consisting of all isomorphisms between its inverse subsemigroups. We prove that a tightly connected fundamental i...
Let A be a not necessarily commutative monoid with zero such that projective A-acts are free. This paper shows that the algebraic K-groups of A can be defined using the +-construction and the Q-constr...
On monoids of almost identity injective partial selfmaps
Topological semigroup semitopological semigroup topological inverse semigroup
2010/12/1
In the paper we study the semigroup I1 of almost identity injective partial selfmaps of the
set of cardinality .
Growth partition functions for cancellative infinite monoids
Growth partition functions cancellative infinite monoids
2010/12/15
We introduce the growth partition function Z,G(t)associated with any cancellative infinite monoid with a finite generator system G. It is a power series in t whose coefficients
l...