This book is an indispensable source for anyone with an interest in semigroup theory or
whose research overlaps with this increasingly important and active field of mathematics. It …

The notion of an order plays an important rôle not only throughout mathematics but also in
adjacent disciplines such as logic and computer science. The purpose of the present text is …

The q-theory of Finite Semigroups | SpringerLink Skip to main content Advertisement
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Diagram groups are groups consisting of spherical diagrams (pictures) over monoid
presentations. They can be also defined as fundamental groups of the Squier complexes …

This survey is intended to provide an overview of one of the oldest and most celebrated
open problems in combinatorial algebra: the word problem for one-relation monoids. We …

This book contains the definitions of several ring constructions used in various applications.
The concept of a groupoid-graded ring includes many of these constructions as special …

This text aims to provide an introduction to the representation theory of finite monoids for
advanced graduate students and researchers in algebra, algebraic combinatorics, automata …

Let n be a positive integer and let n={1,..., n}. Let R be the set of all oneto-one maps σ with
domain I (σ)⊆ n and range J (σ)⊆ n. If i∈ I (σ) let iσ denote the image of i under σ. There is …

With over 60 figures, tables, and diagrams, this text is both an intuitive introduction to and a
rigorous study of finite symmetric inverse semigroups. The book presents much of the …

on a Chain Page 1 Semigroup Forum Vol. 58 (1999) 190-206 © 1999 Springer-Verlag New
York Inc. RESEARCH ARTICLE The Monoid of Orientation-preserving Mappings on a Chain …