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This article is cited in 3 scientific papers (total 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.
Received: 20.08.1971
Citation:
M. S. Burgin, “Free factor algebras of free linear $\Omega$-algebras”, Mat. Zametki, 11:5 (1972), 537–544; Math. Notes, 11:5 (1972), 328–331
Linking options:
https://www.mathnet.ru/eng/mzm9820 https://www.mathnet.ru/eng/mzm/v11/i5/p537
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Abstract page: | 155 | Full-text PDF : | 59 | First page: | 1 |
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