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Structure of Zariski-closed algebrasстатья
- Авторы: Kanel–Belov A., Vishne Uzi, Rowen Louis H.;.
- Журнал: ArXiv e-prints
- Номер: 1109.4912
- Год издания: 2011
- Аннотация: The objective of this paper is to describe the structure of Zariski closed algebras, which provide a useful generalization to finite dimensional algebras in the study of representable algebras over finite fields. Our results include a version of Wedderburn's principal theorem, as well as a more explicit description using representations, in terms of "gluing" in Wedderburn components. Finally, we construct "generic" Zariski closed algebras, whose description is considerably more complicated than the description of generic algebra of finite dimensional algebras. Special attention is given to infinite dimensional algebras over finite fields.
- Добавил в систему: Белов Алексей Яковлевич
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | 1109.4912.pdf | 450,7 КБ | 16 апреля 2016 [AlexeiBelov] |