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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

On chain varieties of linear algebras


Author: V. A. Artamonov
Journal: Trans. Amer. Math. Soc. 221 (1976), 323-338
MSC: Primary 17A99
DOI: https://doi.org/10.1090/S0002-9947-1976-0409572-5
MathSciNet review: 0409572
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Abstract: In the present paper we study varieties of linear k-algebras over a commutative associative Noetherian ring k with 1, whose subvarieties form a chain. We describe these varieties in terms of identities in the following cases: residually nilpotent varieties, varieties of alternative, Jordan and $ ( - 1,1)$-algebras.


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DOI: https://doi.org/10.1090/S0002-9947-1976-0409572-5
Article copyright: © Copyright 1976 American Mathematical Society

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