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Proceedings of the American Mathematical Society

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

 
 

 

Coherence of polynomial rings over semisimple algebraic algebras


Author: Andrew B. Carson
Journal: Proc. Amer. Math. Soc. 34 (1972), 20-24
MSC: Primary 16A48
DOI: https://doi.org/10.1090/S0002-9939-1972-0291216-9
MathSciNet review: 0291216
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Abstract: It is shown that polynomial rings in finitely or infinitely many central indeterminates, over a commutative algebraic algebra without nilpotent elements, are coherent. If the coefficient ring is algebraic over the real numbers, then the commutativity assumption, above, may be dropped.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0291216-9
Keywords: Commutative semisimple algebraic algebras, polynomial rings, coherent rings, topological representations, faithfully flat over rings, direct limits of coherent rings
Article copyright: © Copyright 1972 American Mathematical Society