Prime alternative and (-1,1)--algebras and superalgebras: subalgebras, ideals, C--...
Structure and representations of alternative and Jordan superalgebras
Applications of singularity theory: differential geometry and algebraic geometry
| Full text | |
| Author(s): |
Pchelintsev, S. V.
[1]
Total Authors: 1
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| Affiliation: | [1] Moscow City Pedag Univ, Finance Acad, Govt Russian Federat, Moscow - Russia
Total Affiliations: 1
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| 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 |