Polynomial identity rings
A ring R satisfies a polynomial identity if there is a polynomial f in noncommuting variables which vanishes under substitutions from R. For example, commutative rings satisfy the polynomial f(x,y) = xy - yx and exterior algebras satisfy the polynomial f(x,y,z) = (xy - yx)z - z(xy - yx). "Satisfying a polynomial identity" is often regarded as a generalization of commutativity. These lecture notes treat polynomial identity rings from both the combinatorial and structural points of view. The former studies the ideal of polynomial identities satisfied by a ring R. The latter studies the properties of rings which satisfy a polynomial identity. TOC:Foreword.- Part A. Combinatorial Aspects in PI-Rings (by V. Drensky).- Part B. Polynomial Identity Rings (by E. Formanek).- Bibliography.- Index
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
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9783764371265
3764371269
- Maße
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24 cm
- Umfang
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VI, 200 S.
- Sprache
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Englisch
- Anmerkungen
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Literaturangaben
- Schlagwort
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PI-Algebra
Ring
Polynomidentität
- Ereignis
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Veröffentlichung
- (wo)
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Basel, Boston, Berlin
- (wer)
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Birkhäuser
- (wann)
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c 2004
- Beteiligte Personen und Organisationen
- Inhaltsverzeichnis
- Rechteinformation
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Letzte Aktualisierung
-
11.06.2025, 14:13 MESZ
Datenpartner
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Beteiligte
- Drenskij, Veselin S.
- Formanek, Edward
- Birkhäuser
Entstanden
- c 2004
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