Gupta, Anjan ; Garge, Anuradha ; Rao, Ravi A. (2014) A nice group structure on the orbit space of unimodular rows-II Journal of Algebra, 407 . pp. 201-223. ISSN 0021-8693
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.jalgebra.2014.03.006
Abstract
We establish an Excision type theorem for niceness of group structure on the orbit space of unimodular rows of length n modulo elementary action. This permits us to establish niceness for relative versions of results for the cases when n=d+1; d being the dimension of the base algebra. We then study and establish niceness for the case when n=d, and also establish a relative version, when the base ring is a smooth affine algebra over an algebraically closed field.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Unimodular Row; Relative Unimodular Row; Affine Algebra; Group Structure; Relative Orbit Space; Nice Group Structure |
| ID Code: | 107119 |
| Deposited On: | 26 Dec 2017 11:21 |
| Last Modified: | 26 Dec 2017 11:21 |
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