Please use this identifier to cite or link to this item:
http://hdl.handle.net/123456789/4577
Title: | Flat extension and phantom homology |
Authors: | Bhattacharyya, R. |
Keywords: | tight closure phantom homology |
Issue Date: | 2017 |
Publisher: | ДЗ"ЛНУ імені Тараса Шевченко" |
Series/Report no.: | Математичні науки; |
Abstract: | 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. |
Description: | Bhattacharyya R. Flat extension and phantom homology / R. Bhattacharyya // Algebra and Discrete Mathematics. - 2017. - Vol. 24. - Number 1. - Рp. 90-98 |
URI: | http://hdl.handle.net/123456789/4577 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 1 (24). - 2017 |
Files in This Item:
File | Description | Size | Format | |
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41-1798-1-PB.pdf | 311.63 kB | Adobe PDF | View/Open |
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