Varieties (Universal algebra) (Topical Term)

Work cat.: McKenzie, R. Algebras, lattices, varieties, 1987 : CIP galley, v. 1 (in order to compare algebras, it is very useful to group them into varieties, which are classes defined by equations. Varieties can in turn be organized in various ways into lattices ... varieties themselves are elementary classes in the sense of logic ...)

Eisenreich, G. Mathematik, c1983 (variety <UA> see equational class)

Math. subj. classif., 1985: p. S4 (under General mathematical systems: 08Bxx Varieties)

Cohn, P.M. Universal algebra, c1981: p. 161 (varieties, variety; classes of algebras ... may be completely described by identical relations. Such equational classes or varieties have many useful properties ...)

Burris, S. A course in universal algebra, c1981: p. 60, etc. (varieties, variety; a nonempty class of algebras is called a variety if it is closed under subalgebras, homomorphic images, and direct products)

ASTI; James math. dict.; Encyc. dict. math.; Web. 3; McGraw-Hill dict. sci. tech.