Modules Over Coproducts of Rings
Open Access
- 1 December 1974
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 200, 1-32
- https://doi.org/10.2307/1997246
Abstract
Let be a skew field, or more generally, a finite product of full matrix rings over skew fields. Let be a family of faithful rings (associative unitary rings containing ) and let denote the coproduct ("free product") of the as -rings. An easy way to obtain an -module is to choose for each an -module , and put . Such an will be called a ``standard'' -module. (Note that these include the free -modules.)Keywords
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