On coretractable modules

Derya Keskin Tütüncü; Berke Kalebogaz

doi:10.14492/hokmj/1470052355

On coretractable modules

Division of Algebra and Number Theory

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Let R be any ring. We prove that every right R-module is coretractable if and only if R is right perfect and every right R-module is small coretractable if and only if all torsion theories on R are cohereditary. We also study mono-coretractable modules. We show that coretractable modules are a proper generalization of monocoretractable modules.

Original language	English
Pages (from-to)	91-99
Number of pages	9
Journal	Hokkaido Mathematical Journal
Volume	44
Issue number	1
DOIs	https://doi.org/10.14492/hokmj/1470052355
Publication status	Published - 2015

Keywords

Coretractable module
Kasch module

Access to Document

10.14492/hokmj/1470052355

Cite this

@article{b9ac47d45717444bab272acf133ec08c,

title = "On coretractable modules",

abstract = "Let R be any ring. We prove that every right R-module is coretractable if and only if R is right perfect and every right R-module is small coretractable if and only if all torsion theories on R are cohereditary. We also study mono-coretractable modules. We show that coretractable modules are a proper generalization of monocoretractable modules.",

keywords = "Coretractable module, Kasch module",

author = "\{Keskin T{\"u}t{\"u}nc{\"u}\}, Derya and Berke Kalebogaz",

year = "2015",

doi = "10.14492/hokmj/1470052355",

language = "English",

volume = "44",

pages = "91--99",

journal = "Hokkaido Mathematical Journal",

issn = "0385-4035",

publisher = "Hokkaido University",

number = "1",

}

TY - JOUR

T1 - On coretractable modules

AU - Keskin Tütüncü, Derya

AU - Kalebogaz, Berke

PY - 2015

Y1 - 2015

N2 - Let R be any ring. We prove that every right R-module is coretractable if and only if R is right perfect and every right R-module is small coretractable if and only if all torsion theories on R are cohereditary. We also study mono-coretractable modules. We show that coretractable modules are a proper generalization of monocoretractable modules.

AB - Let R be any ring. We prove that every right R-module is coretractable if and only if R is right perfect and every right R-module is small coretractable if and only if all torsion theories on R are cohereditary. We also study mono-coretractable modules. We show that coretractable modules are a proper generalization of monocoretractable modules.

KW - Coretractable module

KW - Kasch module

UR - https://www.scopus.com/pages/publications/84934784055

UR - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=performanshacettepe&SrcAuth=WosAPI&KeyUT=WOS:000353436000005&DestLinkType=FullRecord&DestApp=WOS_CPL

U2 - 10.14492/hokmj/1470052355

DO - 10.14492/hokmj/1470052355

M3 - Article

AN - SCOPUS:84934784055

SN - 0385-4035

VL - 44

SP - 91

EP - 99

JO - Hokkaido Mathematical Journal

JF - Hokkaido Mathematical Journal

IS - 1

ER -

On coretractable modules

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this