Residuation Theory
Author | : T. S. Blyth |
Publisher | : Elsevier |
Total Pages | : 393 |
Release | : 2014-07-10 |
ISBN-10 | : 9781483157146 |
ISBN-13 | : 1483157148 |
Rating | : 4/5 (46 Downloads) |
Book excerpt: Residuation Theory aims to contribute to literature in the field of ordered algebraic structures, especially on the subject of residual mappings. The book is divided into three chapters. Chapter 1 focuses on ordered sets; directed sets; semilattices; lattices; and complete lattices. Chapter 2 tackles Baer rings; Baer semigroups; Foulis semigroups; residual mappings; the notion of involution; and Boolean algebras. Chapter 3 covers residuated groupoids and semigroups; group homomorphic and isotone homomorphic Boolean images of ordered semigroups; Dubreil-Jacotin and Brouwer semigroups; and lolimorphisms. The book is a self-contained and unified introduction to residual mappings and its related concepts. It is applicable as a textbook and reference book for mathematicians who plan to learn more about the subject.