Show simple item record Bhattacharyya, R. 2019-12-19T10:50:47Z 2019-12-19T10:50:47Z 2017
dc.description Bhattacharyya R. Flat extension and phantom homology / R. Bhattacharyya // Algebra and Discrete Mathematics. - 2017. - Vol. 24. - Number 1. - Рp. 90-98 uk_UA
dc.description.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. uk_UA
dc.language.iso en uk_UA
dc.publisher ДЗ"ЛНУ імені Тараса Шевченко" uk_UA
dc.relation.ispartofseries Математичні науки;
dc.subject tight closure uk_UA
dc.subject phantom homology uk_UA
dc.title Flat extension and phantom homology uk_UA
dc.type Article uk_UA

Files in this item

This item appears in the following Collection(s)

Show simple item record

Search DSpace

Advanced Search


My Account