Extensions of uniserial modules

Gabriella D’este; Fatma Kaynarca; Derya Keskin Tütüncü

doi:10.4171/RSMUP/57

Extensions of uniserial modules

Gabriella D’este
, Fatma Kaynarca
, Derya Keskin Tütüncü

Cebir ve Sayılar Teorisi Anabilim Dalı

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

– Let R be any ring and let 0 → A → B → C → 0 be an exact sequence of R-modules which does not split with A and C uniserial. Then either B is indecom-posable or B has a decomposition of the form B = B₁ ⊕ B₂ where B₁ and B₂ are indecomposable and at least one of them is uniserial.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	73-86
Sayfa sayısı	14
Dergi	Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova
Hacim	144
DOI'lar	https://doi.org/10.4171/RSMUP/57
Yayın durumu	Yayınlandı - 2020

Belgeye Erişim

10.4171/RSMUP/57

Diger dosyalar ve linkler

Link to publication in Scopus

Bundan alıntı yap

@article{44ffaa64f2aa44e498139ac5538a1738,

title = "Extensions of uniserial modules",

abstract = "– Let R be any ring and let 0 → A → B → C → 0 be an exact sequence of R-modules which does not split with A and C uniserial. Then either B is indecom-posable or B has a decomposition of the form B = B1 ⊕ B2 where B1 and B2 are indecomposable and at least one of them is uniserial.",

keywords = "Hollow modules, Quivers and represen-tations, Uniform modules, Uniserial modules",

author = "Gabriella D{\textquoteright}este and Fatma Kaynarca and T{\"u}t{\"u}nc{\"u}, \{Derya Keskin\}",

year = "2020",

doi = "10.4171/RSMUP/57",

language = "English",

volume = "144",

pages = "73--86",

journal = "Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova",

issn = "0041-8994",

publisher = "European Mathematical Society Publishing House",

}

TY - JOUR

T1 - Extensions of uniserial modules

AU - D’este, Gabriella

AU - Kaynarca, Fatma

AU - Tütüncü, Derya Keskin

PY - 2020

Y1 - 2020

N2 - – Let R be any ring and let 0 → A → B → C → 0 be an exact sequence of R-modules which does not split with A and C uniserial. Then either B is indecom-posable or B has a decomposition of the form B = B1 ⊕ B2 where B1 and B2 are indecomposable and at least one of them is uniserial.

AB - – Let R be any ring and let 0 → A → B → C → 0 be an exact sequence of R-modules which does not split with A and C uniserial. Then either B is indecom-posable or B has a decomposition of the form B = B1 ⊕ B2 where B1 and B2 are indecomposable and at least one of them is uniserial.

KW - Hollow modules

KW - Quivers and represen-tations

KW - Uniform modules

KW - Uniserial modules

UR - https://www.scopus.com/pages/publications/85097608260

U2 - 10.4171/RSMUP/57

DO - 10.4171/RSMUP/57

M3 - Article

AN - SCOPUS:85097608260

SN - 0041-8994

VL - 144

SP - 73

EP - 86

JO - Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova

JF - Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova

ER -

Extensions of uniserial modules

Özet

Belgeye Erişim

Diger dosyalar ve linkler

Parmak izi

Bundan alıntı yap