Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 

 

Dimensionally nilpotent Jordan algebras


Author: J. Marshall Osborn
Journal: Proc. Amer. Math. Soc. 116 (1992), 949-953
MSC: Primary 17C10; Secondary 17C30
DOI: https://doi.org/10.1090/S0002-9939-1992-1079706-5
MathSciNet review: 1079706
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: An algebra $ A$ of dimension $ n$ is called dimensionally nilpotent if it has a nilpotent derivation $ \partial $ with the property that $ {\partial ^{n - 1}} \ne 0$. Here we show that a dimensionally nilpotent Jordan algebra $ A$ over a perfect field of characteristic not 2 or 3 is either (i) nilpotent, or (ii) one-dimensional modulo its maximal nilpotent ideal. This result is also extended to noncommutative Jordan algebras.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 17C10, 17C30

Retrieve articles in all journals with MSC: 17C10, 17C30


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1992-1079706-5
Article copyright: © Copyright 1992 American Mathematical Society