Flat extension and phantom homology
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Flat extension and phantom homology
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| Creator |
Bhattacharyya, R.
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| 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.
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| Date |
2019-06-18T10:16:30Z
2019-06-18T10:16:30Z 2017 |
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| Type |
Article
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| 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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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