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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Enumeration results in nilpotent algebras


Author: Helmut Strade
Journal: Proc. Amer. Math. Soc. 49 (1975), 20-24
DOI: https://doi.org/10.1090/S0002-9939-1975-0357526-4
MathSciNet review: 0357526
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Abstract: We enumerate the number of subalgebras for some classes of finite nilpotent algebras. These classes are: alternative algebras over $ GF(q)$, noncommutative Jordan algebras over $ GF(q)$, algebras with only zero squares over some Dedekind domain.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0357526-4
Article copyright: © Copyright 1975 American Mathematical Society