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This article is cited in 7 scientific papers (total in 7 papers)
On Some Properties of the Length Function
O. V. Markova M. V. Lomonosov Moscow State University
Abstract:
We study the length of constructions such as a quotient algebra, a direct sum of algebras, and a subalgebra, which occur in the classical Birkhoff theorem. An upper bound for the length of local algebras is obtained.
Keywords:
algebra over a field, finitely generated algebra, length function, Birkhoff theorem, quotient algebra, subalgebra, direct sum of algebras, Jacobson radical.
Received: 21.04.2009
Citation:
O. V. Markova, “On Some Properties of the Length Function”, Mat. Zametki, 87:1 (2010), 83–91; Math. Notes, 87:1 (2010), 71–78
Linking options:
https://www.mathnet.ru/eng/mzm8468https://doi.org/10.4213/mzm8468 https://www.mathnet.ru/eng/mzm/v87/i1/p83
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Abstract page: | 503 | Full-text PDF : | 231 | References: | 78 | First page: | 10 |
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