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

Vahid Shirbisheh

Article Details

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

Authors:

Vahid Shirbisheh

Publisher:

Abdullah HARMANCI

Journal:

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

Document Type:

Article

Publication Date:

5/2010

Document Language:

Turkish

Document ID (Org No.):

2000718381

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048

Abstract:

 

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].

Article Details

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

Authors: Vahid Shirbisheh

Publisher: Abdullah HARMANCI

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

Document Type: Article

Publication Date: 5/2010

Document Language: Turkish

Document ID (Org No.): 2000718381

Frequency: Monthly

eISSN: 1306-6048

pISSN: 1306-6048

Issues

Authors:

Vahid Shirbisheh

Publisher:

Abdullah HARMANCI

Journal:

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

Document Type:

Article

Publication Date:

5/2010

Document Language:

Turkish

Document ID (Org No.):

2000718381

Frequency:

Monthly

eISSN:

1306-6048

pISSN:

1306-6048