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Subintegrality, invertible modules and polynomial extensions

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Title Subintegrality, invertible modules and polynomial extensions
 
Creator SADHU, V
SINGH, B
 
Subject Subintegral extensions
Semiformal rings
Invertible modules
PICARD GROUP
SEMINORMALITY
 
Description Motivated by a result of Traverso and Swan on seminormality, we prove that for a ring extension A subset of B, A is subintegrally closed in B if and only if the group of invertible A-submodules of B is canonically isomorphic to the group of invertible A[X]-submodules of B[X]. We also examine a relationship between these two groups in the general case, i.e. when A may not be subintegrally closed in B. (C) 2013 Elsevier Inc. All rights reserved.
 
Publisher ACADEMIC PRESS INC ELSEVIER SCIENCE
 
Date 2014-10-15T10:50:31Z
2014-10-15T10:50:31Z
2013
 
Type Article
 
Identifier JOURNAL OF ALGEBRA, 39316-23
http://dx.doi.org/10.1016/j.jalgebra.2013.06.029
http://dspace.library.iitb.ac.in/jspui/handle/100/14789
 
Language en