**American Mathematical Society Translations - Series 2**

1988;
210 pp;
Hardcover

MSC: Primary 20;
Secondary 94

Print ISBN: 978-0-8218-3115-1

Product Code: TRANS2/139

List Price: $108.00

Individual Member Price: $86.40

**Electronic ISBN: 978-1-4704-3350-5
Product Code: TRANS2/139.E**

List Price: $108.00

Individual Price: $86.40

# Nineteen Papers on Algebraic Semigroups

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*A. Ya. Aĭzenshtat; A. E. Evseev; N. E. Podran; I. S. Ponizovskiĭ; B. M. Shaĭn; È. G. Shutov; Yu. M. Vazhenin*

This volume contains papers selected by leading specialists in algebraic semigroups in the U.S., the United Kingdom, and Australia. Many of the papers strongly influenced the development of algebraic semigroups, but most were virtually unavailable outside the U.S.S.R. Written by some of the most prominent Soviet researchers in the field, the papers have a particular emphasis on semigroups of transformations. Boris Schein of the University of Arkansas is the translator.

#### Table of Contents

# Table of Contents

## Nineteen Papers on Algebraic Semigroups

- Cover Cover11
- Title page i2
- Copyright page ii3
- Contents iii4
- Russian Contents v6
- Homomorphisms of semigroups of endomorphisms of ordered sets 18
- On ideals of semigroups of endomorphisms 1118
- Subgroups of semigroups of endomorphisms of ordered sets 2128
- Regular semigroups of endomorphisms of ordered sets 2936
- On certain semigroups of endomorphisms determining the order in a set 3744
- A survey of partial groupoids 4350
- Semigroups of transformations of a finite set generated by idempotents with given projection characteristics 6976
- Semigroups of transformations generated by idempotents with a given defect 7784
- Transitive representations by transformations of semigroups of a certain class 8592
- Embedding semigroups in inverse semigroups 93100
- On certain classes of semigroups of binary relations 117124
- On certain comitants of semigroups of binary relations 139146
- An idempotent semigroup is determined by its pseudogroup of local automorphisms 155162
- Semigroups for which every transitive representation by functions is a representation by invertible functions 165172
- Inverse semigroups that do not admit representations by partial transformations of their proper subsets 177184
- Homomorphisms of the semigroup of all partial transformations 183190
- On a certain semigroup of one-to-one transformations 191198
- Embeddings of semigroups 197204
- Inverse codes 205212
- Back Cover Back Cover1218