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Varieties of algebras. (Mnogoobraziya algebr.) (Russian) Zbl 0778.08003
Novosibirsk: Nauka. 206 p. (1992).
This book is devoted to the general theory of varieties and equational logic. Particular sections elucidate several important notions (free algebras of varieties, direct and subdirect products of algebras, axiomatizable classes of algebras, congruence modular varieties of algebras and so on) in the context of the theory of Mal’tsev classes of varieties defined by Mal’tsev conditions. The lattices arising here play a special role in classical Post varieties. Much attention is given to the geometric method in universal algebra. Examples and exercises which supplement and explain the main text are placed at the end of each chapter.

MSC:
08Bxx Varieties
08-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to general algebraic systems
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