Let A be the set of all denumerably infinite matrices over a field K (that is, matrices

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Let A be the set of all denumerably infinite matrices over a field K (that is, matrices with rows and columns indexed by N*) which have only a finite number of nonzero entries.

(a) A is a simple K-algebra.

(b) A is an infinite dimensional algebraic K-algebra.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Aug 03, 2023 08:28 AM

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Let A be the set of all denumerably infinite matrices over a field K (that is, matrices

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a A is a simple Kalgebra because it has no proper t...View the full answer

Algebra Graduate Texts In Mathematics 73

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