Dutta, Amartya K. ; Gupta, Neena (2015) The epimorphism theorem and its generalizations Journal of Algebra and Its Applications, 14 (09). p. 1540010. ISSN 0219-4988
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Official URL: http://doi.org/10.1142/S0219498815400101
Related URL: http://dx.doi.org/10.1142/S0219498815400101
Abstract
The celebrated "Epimorphism Theorem" opened up several directions of research. In this survey article we highlight the known partial results and open questions on (i) the epimorphism problem for higher dimensions and (ii) the generalized epimorphism problems over nice integral domains (when the corresponding results over fields are known). We shall also discuss a few results and questions on Affine Fibrations, the Cancellation Problem and the Linearization Problem which are closely related to the epimorphism (or embedding) problems.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to World Scientific Publishing Co Pte Ltd. |
| Keywords: | Polynomial Rings; Epimorphism Theorem; Embedding Problem; Affine Fibrations; Cancellation Problem; Linearization Problem. |
| ID Code: | 121178 |
| Deposited On: | 12 Jul 2021 10:48 |
| Last Modified: | 12 Jul 2021 10:48 |
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