This article is cited in 7 papers

Some properties of subalgebras in varieties of linear $\Omega$-albebras

M. S. Burgin, V. A. Artamonov


Abstract: The paper studies connections between the Nielsen and Schreier properties in varieties of linear $\Omega$-algebras, and also between systems $S$ of identical relations such that the theorem about subalgebras lying in the variety $\mathfrak M_S$ is valid, or such that the theorem about finitely generated subalgebras analogous to that of Zhukov is valid.
Bibliography: 17 titles.

UDC: 519.4

MSC: 17E05

Received: 03.12.1970

 English version: Mathematics of the USSR-Sbornik, 1972, 16:1, 69–85

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