Lunqun Ouyang, Dayong Liu

10669

EXTENSIONS OF GM-RINGS OVER GENERALIZED POWER SERIES RINGS

EXTENSIONS OF GM-RINGS OVER GENERALIZED POWER SERIES RINGS

Let R be a reduced ring, (S, ≤) a cancellative torsion-free strictly ordered monoid, it is shown that ring [[RS,≤]] is a GM− ring if and only if R is a GM−ring. We also investigate GM− rings for some special Morita Contexts and module extensions over generalized power series rings.

Keywords:

GM−rings module extension, generalized power series,

International Electronic Journal of Algebra-Cover

ISSN: 1306-6048
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2007
Yayıncı: Abdullah HARMANCI

Arşiv

Sayıdaki Diğer Makaleler

EXTENSIONS OF GM-RINGS OVER GENERALIZED POWER SERIES RINGS

Lunqun Ouyang, Dayong Liu

ON PRINCIPALLY LIFTING MODULES

Mahmoud A. KAMAL, Ahmed Yousef

DIVISION ALGEBRAS THAT RAMIFY ONLY ON THE ZEROS OF AN ELEMENTARY SYMMETRIC POLYNOMIAL

Timothy J. Ford

TOTALLY COFINITELY SUPPLEMENTED MODULES

Gökhan BİLHAN

SUBGROUP LATTICE ALGORITHMS RELATED TO EXTENDING AND LIFTING ABELIAN GROUPS

Septimiu CRİVEİ, Ştefan Şuteu SZÖLLOSİ

MONOID ALGEBRAS OVER NON-COMMUTATIVE RINGS

E. P. COJUHARİ

WEAKLY REGULAR SEMINEARRINGS

M. SHABİR, İ. AHMED

GALOIS MODULE STRUCTURE OF FIELD EXTENSIONS

Patrik LUNDSTRÖM

MODULES SATISFYING THE ASCENDING CHAIN CONDITION ON SUBMODULES WITH A BOUNDED NUMBER OF GENERATORS

Patrick F. SMİTH

FULL HEAPS AND REPRESENTATIONS OF AFFINE KAC-MOODY ALGEBRAS