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Published online. — 195 p. English. (OCR-слой). An algebra consists of a nonvoid set and some finitary operations over that set. For example, a group is a set of elements and a binary operation on those elements (or sometimes, a binary operation and a unary operation are used). We shall deal with two kinds of algebras, the indexed and the non-indexed. Contents. Basic concepts and notation. Tight lattices. Tame quotients. Abelian and solvable algebras. The structure of minimal algebras. The types of tame quotients. Labeled congruence lattices. Solvability and semi-distributivity. Congruence modular varieties. Mal'cev classification and omitting types. Residually small varieties. Decidable varieties. Free spectra. Tame algebras and E-minimal algebras. Simple algebras in varieties. Problems (Всего 17). An appendix added in July, 1996 Bibliography (85 Publ).Added in July, 1996