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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2004 Volume 45, Number 6, Pages 1329–1337 (Mi smj1143)

This article is cited in 5 papers

Proper automorphisms of universal algebras

A. G. Pinus

Novosibirsk State Technical University

Abstract: We introduce the notions of proper and purely proper automorphisms of a universal algebra and prove a theorem about representation of a group as a group of such automorphisms. Under some conditions we find a syntactic description for the central automorphisms of finite algebras.

Keywords: universal algebra, lattice, field, automorphism group, termal function, polynomial function, conditional termal function.

UDC: 512.27

Received: 21.01.2003


 English version:
Siberian Mathematical Journal, 2004, 45:6, 1084–1090

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