Запис Детальніше

Flat extension and phantom homology

Vernadsky National Library of Ukraine

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Title Flat extension and phantom homology
 
Creator Bhattacharyya, R.
 
Description Phantom homology arises in tight closure theory due to small non-exactness when `kernel' is not equal to `image' but `kernel' is in the tight closure of the `image'. In this paper we study a typical flat extension, which we call *-flat extension, such that upon tensoring which preserves phantom homology. Along with other properties, we observe that *-flat extension preserves ghost regular sequence, which is a typical `tight closure' generalization of regular sequence. We also show that in some situations, under *-flat extension, test ideal of the *-flat algebra is the expansion of the test ideal of the base ring.
 
Date 2019-06-18T10:16:30Z
2019-06-18T10:16:30Z
2017
 
Type Article
 
Identifier Flat extension and phantom homology / R. Bhattacharyya // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 90-98. — Бібліогр.: 10 назв. — англ.
1726-3255
2010 MSC:13A35.
http://dspace.nbuv.gov.ua/handle/123456789/156237
 
Language en
 
Relation Algebra and Discrete Mathematics
 
Publisher Інститут прикладної математики і механіки НАН України