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SEMIGROUPS......Page 1 Title Page......Page 3 Copyright Page......Page 4 Table of Contents......Page 5 Preface......Page 7 1. Multiplicative sets......Page 10 2. Independence of the conditions of associativity......Page 20 3. General semigroups and semigroups of transformations......Page 24 4. Partial transformations......Page 37 5. Relations......Page 42 1. Concept and elementary properties of divisibility......Page 52 2. Inverse elements and units......Page 56 3. Divisibility of transformations and matrices......Page 62 4. Commutative semigroups of idempotents......Page 65 5. Semigroups in which every element has a right zero......Page 74 6. Regular elements......Page 80 7. Inverse semigroups......Page 87 8. Inverse semigroups of partial transformations......Page 94 1. Subsemigroups......Page 100 2. Generating sets......Page 107 3. Monogenic semigroups......Page 115 4. Periodic semigroups......Page 122 5. Magnifying elements......Page 127 6. Magnifying elements in semigroups with unit......Page 130 7. The subsemigroup characteristic of a semigroup......Page 136 1. The concept of ideals and their simplest properties......Page 147 2. Chains of subsets of an arbitrary set......Page

Who reads Semigroups (Translations of Mathematical Monographs 3)?

Author

E. S. Ljapin

Publisher

American Mathematical Society

Published

1963

Language

EN

Category

nonfiction