Enumeration of ideals of exceptional nilpotent matrix algebras
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https://elib.sfu-kras.ru/handle/2311/33029Дата:
2015-02Журнал:
Proceedings of the Steklov Institute of MathematicsКвартиль журнала в Scopus:
Q3Библиографическое описание:
Krivokolesko, V. P. Enumeration of ideals of exceptional nilpotent matrix algebras [Текст] / V. P. Krivokolesko, V. M. Levchuk // Proceedings of the Steklov Institute of Mathematics. — 2015. — Т. 21 (№ 1). — С. 166-171Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.
Аннотация:
In well-known enumerations of characteristic ideals of the algebra NT(n,K) of all (lower) niltriangular n×n matrices over a field K and in related papers for nilpotent matrix groups and rings, the case |K|=2 is, as a rule, excluded from consideration; in this case, every ideal is characteristic. We find a formula for the number of all ideals of the algebra NT(n,K) over any finite field K.