MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p

Vahid Shirbisheh

Makale detayları

MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p

Yazarlar:

Vahid Shirbisheh

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2010 Vol.7 Issue 7, pp.59-77

Belge Tipi:

Makale

Yayın Tarihi:

5/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000718381

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

Özet:

 

Given a prime number p, we study the module theory of F[G], where F is a field of characteristic p and G is a cyclic p-group. We describe a construction of the set of all injective homomorphisms between two finitely generated F[G]-modules in terms of their numerical invariants. We also give a conceptual characterization of injective F[G]-homomorphisms. Finally, we characterize all submodules of a given finitely generated F[G]-module. These results were applied to describe all solutions of a specific type of Galois embedding problems in [8].

Makale detayları

MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p

Yazarlar: Vahid Shirbisheh

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2010 Vol.7 Issue 7, pp.59-77

Belge Tipi: Makale

Yayın Tarihi: 5/2010

Belge Dili: Türkçe

Document ID (Org No.): 2000718381

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

Sayı

Yazarlar:

Vahid Shirbisheh

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2010 Vol.7 Issue 7, pp.59-77

Belge Tipi:

Makale

Yayın Tarihi:

5/2010

Belge Dili:

Türkçe

Document ID (Org No.):

2000718381

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048