The purpose of this paper is to give necessary and sufficient conditions for the direct product
of two semigroups to be finitely generated, and also for the direct product to be finitely …

The main result of this paper gives a presentation for an arbitrary subgroup of a monoid
defined by a presentation. It is a modification of the well known Reidemeister–Schreier …

Presentations of General Products of Monoids Page 1 Ž . JOURNAL OF ALGEBRA 204, 733741
1998 ARTICLE NO. JA977389 Presentations of General Products of Monoids TG Lavers* School …

In this paper, we consider the monoids of all partial endomorphisms, of all partial weak
endomorphisms, of all injective partial endomorphisms, of all partial strong endomorphisms …

We study topological realizations of countable Borel equivalence relations, including
realizations by continuous actions of countable groups, with additional desirable properties …

If G is the group defined by a presentation Π, and if H is a subgroup of G, then the theorems
of Reidemeister and Schreier give a method for determining a presentation for H. One of the …

Wreath products involving symmetric inverse monoids/semigroups/categories arise in many
areas of algebra and science, and presentations by generators and relations are crucial …

In this paper we consider finite generation and finite presentability of Rees matrix
semigroups (with or without zero) over arbitrary semigroups. The main result states that a …

Gröbner-Shirshov Bases of the Generalized Bruck-Reilly ∗-Extension Page 1 Algebra
Colloquium c© 2012 AMSS CAS & SUZHOU UNIV Algebra Colloquium 19 (Spec 1) (2012) …

Finite generation and presentability of general unions of semigroups, as well as of bands of
semigroups, bands of monoids, semilattices of semigroups and strong semilattices of …