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Journal of the London Mathematical Society 1970 s2-2(1):32; doi:10.1112/jlms/s2-2.1.32-s
© 1970 by London Mathematical Society
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© Oxford University Press

On Sasiada's Ring

W. G. Leavitt and R. L. Tangeman

Dept. of Maths, University of Nebraska Lincoln, Nebraska 68508
University of Florida Gainesville, Fja. 32601

Abstract

It has been pointed out to us by P. M. Cohn that in the proof of Lemma 2 the tacit assumption is made that J is a closed ideal. It is assumed, namely, that since x3 commutes modulo J with all monomials it will therefore commute modulo J with all formal power series. Since J is not closed this need not be true in general. Thus Lemma 2 should be deleted, and hence also Propositions 1 and 2 and Corollary 1. The results of the remainder of the paper are independent and are believed to be correct. Also note that in the proof of Lemma 3 the contents of the first bracket should be x–yx2y.


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