Meaning of "semigroup" in the English dictionary

PRONUNCIATION OF SEMIGROUP

semigroup  [ˈsɛmɪˌɡruːp]

GRAMMATICAL CATEGORY OF SEMIGROUP

Semigroup is a noun.

A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES SEMIGROUP MEAN IN ENGLISH?

Semigroup

In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation. A semigroup generalizes a monoid in that a semigroup need not have an identity element. It also generalized a group in that no element had to have an inverse, thus the name semigroup. The binary operation of a semigroup is most often denoted multiplicatively:, or simply, denotes the result of applying the semigroup operation to the ordered pair. The operation is required to be associative so that for all x, y and z, but need not be commutative so that does not have to equal . By definition, a semigroup is an associative magma. A semigroup with an identity element is called a monoid. A group is then a monoid in which every element has an inverse element. Semigroups must not be confused with quasigroups which are sets with a not necessarily associative binary operation such that division is always possible. The formal study of semigroups began in the early 20th century.

Definition of semigroup in the English dictionary

The definition of semigroup in the dictionary is in mathematics, a set together with an associative binary operation.

TRANSLATION OF SEMIGROUP

Find out the translation of semigroup to 25 languages with our English multilingual translator.

The translations of semigroup from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «semigroup» in English.

• Translator English - Chinese: 半群
• Translator English - Spanish: semigrupo
• English: semigroup
• Translator English - Hindi: semigroup
• Translator English - Arabic: semigroup
• Translator English - Russian: полугруппа
• Translator English - Portuguese: semigrupo
• Translator English - Bengali: semigroup
• Translator English - French: semi-groupe
• Translator English - Malay: Semigroup
• Translator English - German: Halbgruppe
• Translator English - Japanese: 半群
• Translator English - Korean: semigroup
• Translator English - Javanese: Semigroup
• Translator English - Vietnamese: -nửa nhóm
• Translator English - Tamil: அரைக்குலம்
• Translator English - Marathi: सेमिग्रुप
• Translator English - Turkish: yarıgrup
• Translator English - Italian: semigruppo
• Translator English - Polish: półgrupą
• Translator English - Ukrainian: полугруппа
• Translator English - Romanian: semigrup
• Translator English - Greek: ημιομάδα
• Translator English - Afrikaans: half groep
• Translator English - Swedish: semigrupp
• Translator English - Norwegian: semigroup

10 ENGLISH BOOKS RELATING TO «SEMIGROUP»

Discover the use of semigroup in the following bibliographical selection. Books relating to semigroup and brief extracts from same to provide context of its use in English literature.

Commutative Semigroup Rings

This book contains an account of the current state of knowledge on some topics in the area of commutative semigroup rings.

Robert Gilmer, 1984

Semigroup Theory and Evolution Equations: The Second ...

Proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept. 1989, Delft University of Technology, the Netherlands.

Philippe Clement, 1991

Techniques of semigroup theory

This book introduces recently developed ideas and techniques in semigroup theory, providing a handy reference guide previously unavailable in a single volume.

Peter M. Higgins, 1992

Noetherian Semigroup Algebras

This work presents a comprehensive treatment of the main results and methods of the theory of Noetherian semigroup algebras.

Eric Jespers, Jan Okniński, 2007

Fundamentals of Semigroup Theory

This book is an indispensable source for anyone with an interest in semigroup theory or whose research overlaps with this increasingly important and active field of mathematics.

John Mackintosh Howie, 1995

Group and Semigroup Rings

A broad range of topics is covered here, including commutative monoid rings, the Jacobson radical of semigroup rings, blocks of modular group algebras, nilpotency index of the radical of group algebras, the isomorphism problem for group ...

G. Karpilovsky, 2011

The adjoint of a semigroup of linear operators

The book is addressed primarily toresearchers working in semigroup theory, but in view of the"Banach space theory" flavour of many of the results, itwill also be of interest to Banach space geometers andoperator theorists.

Jan van Neerven, 1992

Semigroup Theory and Its Applications: Proceedings of the ...

Survey articles in the area of semigroup theory and its applications.

Alfred Hoblitzelle Clifford, Karl H. Hofmann, Michael W. Mislove, 1996

Fuzzy Semigroups

Others who worked on fuzzy semigroup theory, such as Xie, are mentioned in the bibliogra phy. The purpose of this book is to present an up to date account of fuzzy subsemigroups and fuzzy ideals of a semigroup.

John N. Mordeson, Davender S. Malik, Nobuaki Kuroki, 2003

Semigroups: An Introduction to the Structure Theory

This work offers concise coverage of the structure theory of semigroups. It examines constructions and descriptions of semigroups and emphasizes finite, commutative, regular and inverse semigroups.

Pierre A. Grillet, 1995

3 NEWS ITEMS WHICH INCLUDE THE TERM «SEMIGROUP»

Find out what the national and international press are talking about and how the term semigroup is used in the context of the following news items.

Tom Sandells SANDELL ASSET MANAGEMENT CORP Is The …

Tom Sandell's fund sold all its stakes in General Mtrs Co (Call) (GM), Visteon Corp (VC), Supervalu Inc (SVU), Semigroup Corp (SEMG) and Block H & R Inc ... «OctaFinance.com, May 15»

A Higher Murder Rate than New York and Los Angeles Combined

semigroup May 31, 2014, 12:59 AM. Thomas, your objection is ... semigroup, Since when is Wikipedia ever an acceptable source? Example from University of ... «Scientific American, May 14»

Professor David Rees

Rees's main mathematical interests lay in highly complex fields of algebra known as semigroup theory and commutative algebra — both of which have ... «Telegraph.co.uk, Aug 13»