We analyze conditions under which an (ungraded) module over a semigroup-graded ring can be embedded in a graded module. We use this information to provide some sufficient conditions under which the graded Jacobson radical of the ring is contained in the (ungraded) Jacobson radical. These include, and give an alternate approach to, the case of group-graded rings.
Embedding modules in graded modules over a semigroup-graded ring
MENINI, Claudia
2001
Abstract
We analyze conditions under which an (ungraded) module over a semigroup-graded ring can be embedded in a graded module. We use this information to provide some sufficient conditions under which the graded Jacobson radical of the ring is contained in the (ungraded) Jacobson radical. These include, and give an alternate approach to, the case of group-graded rings.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
