## Mathematics across the Iron Curtain A history of the algebraic theory of semigroups

Material type: TextLanguage: English Series: History of Mathematics ; 41Publication details: Providence, Rhode Island American Mathematical Society (AMS) 2017Edition: Indian EditionDescription: xi, 441 pISBN: 9781470437329 (PB)Subject(s): History and biography History of mathematics and mathematicians 20th century | MathematicsCurrent library | Home library | Call number | Materials specified | Copy number | Status | Date due | Barcode |
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IMSc Library | IMSc Library | 510 HOL (Browse shelf (Opens below)) | Available | 77181 | |||

IMSc Library | IMSc Library | 510 HOL (Browse shelf (Opens below)) | 1 | Available | 77164 |

Algebra at the beginning of the twentieth century

Communication between east and west

Anton Kazimirovich Sushkevich

Unique factorisation in semigroups

Embedding semigroups in groups

The Rees theorem

The French school of 'demi-groupes'

The expansion of the theory in the 1940s and 1950s

The post-Sushkevich Soviet school

The development of inverse semigroups

Matrix representations of semigroups

Books, seminars, conferences, and journals

Appendix: Basic theory

The theory of semigroups is a relatively young branch of mathematics, with most of the major results having appeared after the Second World War. This book describes the evolution of (algebraic) semigroup theory from its earliest origins to the establishment of a full-fledged theory. Semigroup theory might be termed 'Cold War mathematics' because of the time during which it developed. There were thriving schools on both sides of the Iron Curtain, although the two sides were not always able to communicate with each other, or even gain access to the other's publications. A major theme of this book is the comparison of the approaches to the subject of mathematicians in the East and West, and the study of the extent to which contact between the two sides was possible.

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