MIYASHITA ACTION IN STRONGLY GROUPOID GRADED RINGS

Johan Öinert; Patrik Lundström

Makale detayları

MIYASHITA ACTION IN STRONGLY GROUPOID GRADED RINGS

Yazarlar:

Johan Öinert | Patrik Lundström

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2012 Vol.11 Issue 11, pp.46-63

Belge Tipi:

Makale

Yayın Tarihi:

5/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000718280

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

Özet:

 

We determine the commutant of homogeneous subrings in strongly
 groupoid graded rings in terms of an action on the ring induced by the grading.
 Thereby we generalize a classical result of Miyashita from the group graded
 case to the groupoid graded situation. In the end of the article we exemplify
 this result. To this end, we show, by an explicit construction, that given a
 finite groupoid G, equipped with a nonidentity morphism t : d(t) → c(t), there
 is a strongly G-graded ring R with the properties that each Rs, for s ∈ G, is
 nonzero and Rt is a nonfree left Rc(t)-module.

Makale detayları

MIYASHITA ACTION IN STRONGLY GROUPOID GRADED RINGS

Yazarlar: Johan Öinert | Patrik Lundström

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2012 Vol.11 Issue 11, pp.46-63

Belge Tipi: Makale

Yayın Tarihi: 5/2012

Belge Dili: Türkçe

Document ID (Org No.): 2000718280

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

Sayı

Yazarlar:

Johan Öinert | Patrik Lundström

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2012 Vol.11 Issue 11, pp.46-63

Belge Tipi:

Makale

Yayın Tarihi:

5/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000718280

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048