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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Degenerate alternative algebras

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Author(s):
Pchelintsev, S. V. [1]
Total Authors: 1
Affiliation:
[1] Moscow City Pedag Univ, Finance Acad, Govt Russian Federat, Moscow - Russia
Total Affiliations: 1
Document type: Journal article
Source: SIBERIAN MATHEMATICAL JOURNAL; v. 55, n. 2, p. 323-335, MAR 2014.
Web of Science Citations: 3
Abstract

We prove that each degenerate alternative algebra of characteristic not equal 2 contains a nonzero ideal with an additive basis consisting of the absolute zero divisors of an arbitrary large order. As a corollary we establish the existence of infinitely many nonisomorphic commutative prime alternative algebras and existence of infinite series of strict and nonstrict exceptional alternative algebras with different sets of proper identities. (AU)

FAPESP's process: 12/04702-7 - Prime alternative and (-1,1)--algebras and superalgebras: subalgebras, ideals, C--operations, and identities
Grantee:Ivan Chestakov
Support type: Research Grants - Visiting Researcher Grant - International