In group theory, an inverse semigroup S is a semigroup in which every element x in S has a unique inverse y in S in the sense that x = xyx and y = yxy, ... Congruences on inverse... · E-unitary inverse semigroups

23 авг. 2024 г. · An inverse semigroup is a semigroup S S (ie. a set equipped with an associative binary operation) such that for every element s ∈ S s\in S , ...

An inverse semigroup with identity is called an inverse monoid and an inverse semigroup with zero is called an inverse semigroup with zero. An inverse.

26 апр. 2023 г. · Abstract:This is an account of the theory of inverse semigroups, assuming only that the reader knows the basics of semigroup theory.

24 авг. 2020 г. · This paper sets out to provide the reader with a basic introduction to inverse semigroups, as well as a proof of the Wagner-Preston ...

29 февр. 2016 г. · A nonempty semigroup is a group if and only if every element has exactly one weak inverse. Only a weaker (and simpler) result holds.

We prove that associated with each inverse semigroup S is a Boolean inverse semigroup presented by the abstract versions of the Cuntz–Krieger relations. We call ...

1 окт. 2019 г. · An element a in a Boolean inverse semigroup is said to be finite if the number of elements below a, under the natural partial order, is finite.

In abstract algebra, the set of all partial bijections on a set X forms an inverse semigroup, called the symmetric inverse semigroup (actually a monoid) on ...

8 окт. 2021 г. · An inverse semigroup is a semigroup S such that, for each $s\in S$ , there is a unique element $s^*\in S$ that satisfies $ss^*s=s$ and $s^*ss^*= ...