On some injective modules in σ[M]

A. C. Ozcan; D. K. Tutuncu; M. F. Yousif

doi:10.1007/978-3-7643-8742-6_21

On some injective modules in σ[M]

A. C. Ozcan
, D. K. Tutuncu
, M. F. Yousif

Hacettepe University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, we study the notions (strongly) soc-injective, (strongly) simple-injective and (strongly) mininjective modules in sigma [M]. For any module N in sigma[M], N is strongly mininjective in sigma[M] if and only if it is strongly simple-injective in sigma[M]. A module M is locally Noetherian if and only if every strongly simple-injective module in sigma[M] is strongly soc-injective. We also characterize Noetherian QF-modules.

Original language	English
Title of host publication	Modules And Comodules
Editors	T Brzezinski, JL GomezPardo, I Shestakov, PF Smith
Publisher	Walter de Gruyter
Pages	313-+
Number of pages	3
ISBN (Print)	978-3-7643-8741-9
DOIs	https://doi.org/10.1007/978-3-7643-8742-6_21
Publication status	Published - 2008
Event	International Conference on Modules and Comodules - Porto, Portugal Duration: 6 Sept 2006 → 8 Sept 2006

Conference

Conference	International Conference on Modules and Comodules
Country/Territory	Portugal
City	Porto
Period	6/09/06 → 8/09/06

Keywords

Rings

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10.1007/978-3-7643-8742-6_21

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title = "On some injective modules in σ[M]",

abstract = "In this paper, we study the notions (strongly) soc-injective, (strongly) simple-injective and (strongly) mininjective modules in sigma [M]. For any module N in sigma[M], N is strongly mininjective in sigma[M] if and only if it is strongly simple-injective in sigma[M]. A module M is locally Noetherian if and only if every strongly simple-injective module in sigma[M] is strongly soc-injective. We also characterize Noetherian QF-modules.",

keywords = "Rings",

author = "Ozcan, \{A. C.\} and Tutuncu, \{D. K.\} and Yousif, \{M. F.\}",

year = "2008",

doi = "10.1007/978-3-7643-8742-6\_21",

language = "English",

isbn = "978-3-7643-8741-9",

pages = "313--+",

editor = "T Brzezinski and JL GomezPardo and I Shestakov and PF Smith",

booktitle = "Modules And Comodules",

publisher = "Walter de Gruyter",

address = "Germany",

note = "International Conference on Modules and Comodules ; Conference date: 06-09-2006 Through 08-09-2006",

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TY - GEN

T1 - On some injective modules in σ[M]

AU - Ozcan, A. C.

AU - Tutuncu, D. K.

AU - Yousif, M. F.

PY - 2008

Y1 - 2008

N2 - In this paper, we study the notions (strongly) soc-injective, (strongly) simple-injective and (strongly) mininjective modules in sigma [M]. For any module N in sigma[M], N is strongly mininjective in sigma[M] if and only if it is strongly simple-injective in sigma[M]. A module M is locally Noetherian if and only if every strongly simple-injective module in sigma[M] is strongly soc-injective. We also characterize Noetherian QF-modules.

AB - In this paper, we study the notions (strongly) soc-injective, (strongly) simple-injective and (strongly) mininjective modules in sigma [M]. For any module N in sigma[M], N is strongly mininjective in sigma[M] if and only if it is strongly simple-injective in sigma[M]. A module M is locally Noetherian if and only if every strongly simple-injective module in sigma[M] is strongly soc-injective. We also characterize Noetherian QF-modules.

KW - Rings

UR - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=performanshacettepe&SrcAuth=WosAPI&KeyUT=WOS:000257461700021&DestLinkType=FullRecord&DestApp=WOS_CPL

U2 - 10.1007/978-3-7643-8742-6_21

DO - 10.1007/978-3-7643-8742-6_21

M3 - Conference contribution

SN - 978-3-7643-8741-9

SP - 313-+

BT - Modules And Comodules

A2 - Brzezinski, T

A2 - GomezPardo, JL

A2 - Shestakov, I

A2 - Smith, PF

PB - Walter de Gruyter

T2 - International Conference on Modules and Comodules

Y2 - 6 September 2006 through 8 September 2006

ER -

On some injective modules in σ[M]

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