Subintegrality, invertible modules and polynomial extensions
DSpace at IIT Bombay
View Archive InfoField | Value | |
Title |
Subintegrality, invertible modules and polynomial extensions
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Creator |
SADHU, V
SINGH, B |
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Subject |
Subintegral extensions
Semiformal rings Invertible modules PICARD GROUP SEMINORMALITY |
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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.
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Publisher |
ACADEMIC PRESS INC ELSEVIER SCIENCE
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Date |
2014-10-15T10:50:31Z
2014-10-15T10:50:31Z 2013 |
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Type |
Article
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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 |
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Language |
en
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