This article is cited in 3 papers

Free factor algebras of free linear $\Omega$-algebras

M. S. Burgin

M. V. Lomonosov Moscow State University

Abstract: This paper concerns free linear $\Omega$-algebras in certain varieties and their subalgebras and factor algebras. Conditions are given ensuring that an epimorphic image of a free linear $\Omega$-algebra in a variety given by permutation identities of zero order is free in this variety. An example is constructed of a variety of linear algebras in which this assertion is false.

UDC: 519.4

Received: 20.08.1971

 English version: Mathematical Notes, 1972, 11:5, 328–331

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