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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1970 Volume 83(125), Number 1(9), Pages 3–14 (Mi sm3498)

Categories structurally equivalent to categories of algebras

T. M. Baranovich


Abstract: The conditions are investigated for an arbitrary category to be structurally equivalent in the sense of Mal'tscev to a class of universal algebras closed with respect to one or another algebraic construction. Conditions are determined under which the operations of the algebras can be taken to be finitary.
Bibliography: 9 titles.

UDC: 519.47

MSC: 18A40, 18B15, 18B05, 18Dxx, 18A20

Received: 12.11.1969


 English version:
Mathematics of the USSR-Sbornik, 1970, 12:1, 1–12

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© Steklov Math. Inst. of RAS, 2024