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covarie
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There are 7 letters in COVARIE ( A1C3E1I1O1R1V4 )
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Definitions of covarie in various dictionaries:
COVARIE - In the mathematical subject of universal algebra, a variety of algebras is the class of all algebraic structures of a given signature satisfying a gi...
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In the mathematical subject of universal algebra, a variety of algebras is the class of all algebraic structures of a given signature satisfying a given set of identities. For example, the groups form a variety of algebras, as do the abelian groups, the rings, the monoids etc. According to Birkhoff's theorem, a class of algebraic structures of the same signature is a variety if and only if it is closed under the taking of homomorphic images, subalgebras and (direct) products. In the context of category theory, a variety of algebras, together with its homomorphisms, forms a category; these are usually called finitary algebraic categories. * A covariety is the class of all coalgebraic structures of a given signature. |