Journal Article Group-graded and group-bigraded rings

Hoshino, Mitsuo  ,  Kameyama, Noritsugu  ,  Koga, Hirotaka

14 ( 7 )  , p.1550100 , 2015-09 , World Scientific
ISSN:0219-4988
NCID:AA11646389
Description
Let I be a nontrivial finite multiplicative group with the unit element e and A = ⨁x∈I Ax an I-graded ring. We construct a Frobenius extension Λ of A and study when the ring extension A of Ae can be a Frobenius extension. Also, formulating the ring structure of Λ, we introduce the notion of I-bigraded rings and show that every I-bigraded ring is isomorphic to the I-bigraded ring Λ constructed above.
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