Dimension modules

Victor P Camillo; Julius M Zelmanowitz

doi:10.2140/pjm.1980.91.249

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Journal article

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Peer reviewed

Dimension modules

Victor P Camillo and Julius M Zelmanowitz

Pacific journal of mathematics, Vol.91(no. 2), pp.249-261

1980

DOI: 10.2140/pjm.1980.91.249

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Abstract

Mis called a dimension module if d(A + B) = d(A)+d(B) – d(A∩B) holds for all submodules A and B of M, where d(M) denotes the Goldie (uniform) dimension of a module M. We characterize these modules as the modules which have no submodules of the formX ⊕X/Y with Y an essential submoduleof X. As a test, the structure of a completely decomposable injective dimension module is determined. © 1980, University of California, Berkeley. All Rights Reserved.

16A53

Details

Title: Subtitle: Dimension modules
Creators: Victor P Camillo
Julius M Zelmanowitz
Resource Type: Journal article
Publication Details: Pacific journal of mathematics, Vol.91(no. 2), pp.249-261
Publisher: Pacific Journal of Mathematics, A Non-profit Corporation
DOI: 10.2140/pjm.1980.91.249
ISSN: 0030-8730
eISSN: 1945-5844
Date published: 1980
Academic Unit: Mathematics
Record Identifier: 9984240862202771

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