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

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].

Keywords:

module theory, group algebras, cyclic p-groups Galois embedding problems,

Tam Metin

___

Bibtex	@ { ieja266335, journal = {International Electronic Journal of Algebra}, issn = {1306-6048}, eissn = {1306-6048}, address = {1710 Sokak, No:41, Batikent/Ankara}, publisher = {Abdullah HARMANCI}, year = {2010}, volume = {7}, number = {7}, pages = {59 - 77}, title = {MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p}, key = {cite}, author = {Shirbisheh, Vahid} }
APA	Shirbisheh, V. (2010). MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p . International Electronic Journal of Algebra , 7 (7) , 59-77 .
MLA	Shirbisheh, V. "MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p" . International Electronic Journal of Algebra 7 (2010 ): 59-77 <
Chicago	Shirbisheh, V. "MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p". International Electronic Journal of Algebra 7 (2010 ): 59-77
RIS	TY - JOUR T1 - MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p AU - VahidShirbisheh Y1 - 2010 PY - 2010 N1 - DO - T2 - International Electronic Journal of Algebra JF - Journal JO - JOR SP - 59 EP - 77 VL - 7 IS - 7 SN - 1306-6048-1306-6048 M3 - UR - Y2 - 2022 ER -
EndNote	%0 International Electronic Journal of Algebra MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p %A Vahid Shirbisheh %T MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p %D 2010 %J International Electronic Journal of Algebra %P 1306-6048-1306-6048 %V 7 %N 7 %R %U
ISNAD	Shirbisheh, Vahid . "MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p". International Electronic Journal of Algebra 7 / 7 (Haziran 2010): 59-77 .
AMA	Shirbisheh V. MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p. IEJA. 2010; 7(7): 59-77.
Vancouver	Shirbisheh V. MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p. International Electronic Journal of Algebra. 2010; 7(7): 59-77.
IEEE	V. Shirbisheh , "MODULE HOMOMORPHISMS OF GROUP ALGEBRAS OF CYCLIC p-GROUPS IN CHARACTERISTIC p", , c. 7, sayı. 7, ss. 59-77, Haz. 2010

International Electronic Journal of Algebra

ISSN: 1306-6048
Yayın Aralığı: Yılda Aylık
Yayıncı: Abdullah HARMANCI

24.5b100