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Variety (Universal Algebra)
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Geliefert zwischen Mi., 04.02.2026 und Do., 05.02.2026
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High Quality Content by WIKIPEDIA articles! In mathematics, specifically universal algebra, a variety of algebras is the class of all algebraic structures of a given signature satisfying a given set of identities. Equivalently, a variety is a class of algebraic structures of the same signature which is closed under the taking of homomorphic images, subalgebras and (direct) products. In the context of category theory, a variety of algebras is usually called a finitary algebraic category. A covariety is the class of all coalgebraic structures of a given signature. A variety of algebras should not be confused with an algebraic variety. Intuitively, a variety of algebras is an equationally defined collection of algebras, while an algebraic variety is an equationally defined collection of elements from a single algebra. The two are named alike by analogy, but they are formally quite distinct and their theories have little in common.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130353902
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Größe H220mm x B150mm x T4mm
- Jahr 2010
- EAN 9786130353902
- Format Kartonierter Einband
- ISBN 978-613-0-35390-2
- Titel Variety (Universal Algebra)
- Untertitel Universal Algebra, Class, Algebraic Structure, Signature, Identity, Homomorphism, Subalgebra, Direct Product, Garrett Birkhoff, Commutativity, Absorption Law, Lattice, Semigroup
- Gewicht 125g
- Herausgeber VDM Verlag Dr. Müller e.K.
- Anzahl Seiten 72
- Genre Mathematik
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