The epimorphism theorem and its generalizations-Reference-Cited by-同舟云学术

The epimorphism theorem and its generalizations

Published:2015-07-10 Issue:09 Volume:14 Page:1540010
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Dutta Amartya K.¹,Gupta Neena¹

Affiliation:

1. Statistics and Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata 700 108, India

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498815400101

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