Flat and projective character modules

Thomas J. Cheatham; David R. Stone

doi:10.1090/S0002-9939-1981-0593450-2

Flat and projective character modules

Thomas J. Cheatham, David R. Stone

Mathematical Sciences

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

92 Scopus citations

Abstract

We characterize left coherent, left Noetherian, and left Artinian rings by the flatness, projectivity, and injectivity of the character module of certain left R-modules.

Original language	English
Pages (from-to)	175-177
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	81
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1981-0593450-2
State	Published - Feb 1981

Scopus Subject Areas

General Mathematics
Applied Mathematics

Keywords

Artinian
Character module
Coherent
Flat
Injective
Noetherian
Projective

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10.1090/S0002-9939-1981-0593450-2

Cite this

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title = "Flat and projective character modules",

abstract = "We characterize left coherent, left Noetherian, and left Artinian rings by the flatness, projectivity, and injectivity of the character module of certain left R-modules.",

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author = "Cheatham, \{Thomas J.\} and Stone, \{David R.\}",

year = "1981",

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language = "English",

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journal = "Proceedings of the American Mathematical Society",

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T1 - Flat and projective character modules

AU - Cheatham, Thomas J.

AU - Stone, David R.

PY - 1981/2

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AB - We characterize left coherent, left Noetherian, and left Artinian rings by the flatness, projectivity, and injectivity of the character module of certain left R-modules.

KW - Artinian

KW - Character module

KW - Coherent

KW - Flat

KW - Injective

KW - Noetherian

KW - Projective

UR - https://www.scopus.com/pages/publications/84968509332

U2 - 10.1090/S0002-9939-1981-0593450-2

DO - 10.1090/S0002-9939-1981-0593450-2

M3 - Article

AN - SCOPUS:84968509332

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VL - 81

SP - 175

EP - 177

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

Flat and projective character modules

Abstract

Scopus Subject Areas

Keywords

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