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On the Dimension of Modules and Algebras, VI. Comparison of Global and Algebra Dimension
Published online by Cambridge University Press: 22 January 2016
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Throughout this paper all rings are assumed to have unit elements. A ring Λ is said to be semi-primary if its Jacobson radical N is nilpotent and Г = Λ/N satisfies the minimum condition. The main objective of this paper is
THEOREM I. Let A be a semi-primary algebra over a field K. Let N be the radical of Λ and Г = Λ/N. If
Then
dim Λ = gl.dim Λ.
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1957
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