Residuation Theory
| By: | T. S. Blyth; M. F. Janowitz |
| Publisher: | Elsevier S & T |
| Print ISBN: | 9780080164083 |
| eText ISBN: | 9781483157146 |
| Edition: | 0 |
| Copyright: | 1972 |
| Format: | Page Fidelity |
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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.