Nil ideals of finite codimension in alternative Noetherian algebras
| Autor: | V. N. Zhelyabin, A. S. Panasenko |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Noetherian
Discrete mathematics Pure mathematics Jordan algebra Mathematics::Commutative Algebra General Mathematics Mathematics::Rings and Algebras 010102 general mathematics Field (mathematics) 0102 computer and information sciences Codimension 01 natural sciences Mathematics::Group Theory Nilpotent 010201 computation theory & mathematics Nil ideal Algebra representation Alternative algebra 0101 mathematics Mathematics |
| Zdroj: | Mathematical Notes. 101:460-466 |
| ISSN: | 1573-8876 0001-4346 |
| Popis: | Alternative (right) Noetherian algebras are considered. It is proved that, in these algebras, the nil ideals of finite codimension are nilpotent, which generalizes the corresponding Zhevlakov’s result. As a corollary, we describe just infinite alternative nonassociative algebras (for the field characteristic distinct from 2). |
| Databáze: | OpenAIRE |
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