Induced and Produced Modules
- 1 January 1955
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 7, 490-508
- https://doi.org/10.4153/cjm-1955-052-4
Abstract
We shall consider here two generalizations to rings of the concept of induced representation as it occurs in the representation theory of finite groups (6).If A is a ring, S a subring of A, we shall associate with each S-module M an induced pair (I(M), K) consisting of an A -modulo I(M) and an S-homomorphism K: M → I(M).Keywords
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