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Subintegrality, invertible modules and polynomial extensions

✍ Scribed by Sadhu, Vivek; Singh, Balwant

Book ID
120608551
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
206 KB
Volume
393
Category
Article
ISSN
0021-8693

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We show that the isomorphism ΞΆ B/A B/A β†’ A B introduced by the second author for a subintegral extension A βŠ† B of positively graded rings with A 0 = B 0 is also an isomorphism if A βŠ† B is only a weakly subintegral extension.

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The "extensions" of rings and modules has yet to be explored in detailΒ in aΒ research monograph. This book does that and much more, by presenting the state of the art research and also stimulating new and further research. The focus of this study of extensions includes the (quasi-) Baer property, the