Maximal Ideal : Mathematics, Ring theory, Ideal (ring theory), Maximal element, Quotient ring, Commutative ring, Simple ring, Local ring, Field (mathematics)

Language: English

Published by Omniscriptum, 2010

6132569197 / 9786132569196

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In mathematicsmore specifically in ring theory, a maximal ideal is an ideal which ismaximal amongst all proper ideals. In other words, I is a maximal idealof a ring R if I is an ideal of R, I ¿ R, and whenever J is anotherideal containing I as a subset, then either J = I or J = R. So there areno ideals 'in between' I and R. Maximal ideals are important because thequotient rings of maximal ideals are simple rings, and in the specialcase of unital commutative rings they are also fields. Rings whichcontain only one maximal ideal are called local rings.

Seller Inventory # 9786132569196

Title
Maximal Ideal : Mathematics, Ring theory, Ideal (ring theory), Maximal element, Quotient ring, Commutative ring, Simple ring, Local ring, Field (mathematics)
Author
Frederic P. Miller
Publisher
Omniscriptum
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
6132569197
ISBN 13
9786132569196
Item weight
119 grams
Dimensions
220x150x5 mm

AHA-BUCH GmbH

Einbeck, Germany

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