MONOID ALGEBRAS OVER NON-COMMUTATIVE RINGS

E. P. COJUHARİ

Makale detayları

MONOID ALGEBRAS OVER NON-COMMUTATIVE RINGS

Yazarlar:

E. P. COJUHARİ

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2007 Vol.2 Issue 2, pp.25-53

Belge Tipi:

Makale

Yayın Tarihi:

11/2007

Belge Dili:

Türkçe

Document ID (Org No.):

2000718439

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

Özet:

 

We define on an arbitrary ring A a family of mappings (σx,y) subscripted with elements of a multiplicative monoid G. The assigned properties allow to call these mappings as derivations of the ring A. Beside the general situation it is given their description for the case of a partially ordered monoid. A monoid algebra of G over A is constructed explicitly, and the universality property of it is shown. The notion of a monoid algebra in our context extends those of a group ring, a skew polynomial ring, Weyl algebra and other related ones. The connection with crossed products is also shown.

Makale detayları

MONOID ALGEBRAS OVER NON-COMMUTATIVE RINGS

Yazarlar: E. P. COJUHARİ

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2007 Vol.2 Issue 2, pp.25-53

Belge Tipi: Makale

Yayın Tarihi: 11/2007

Belge Dili: Türkçe

Document ID (Org No.): 2000718439

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

Sayı

Yazarlar:

E. P. COJUHARİ

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2007 Vol.2 Issue 2, pp.25-53

Belge Tipi:

Makale

Yayın Tarihi:

11/2007

Belge Dili:

Türkçe

Document ID (Org No.):

2000718439

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048