Indian Institute Of Space Science & Technology, Kerala
Project Overview
In affine algebraic geometry, one of the important classes of objects are algebraic structures which are not as nice as polynomial algebras, but they become polynomial algebras after a base change. In this project, we aim to study a type of such algebraic structure. To be specific, for any commutative ring $R$ we propose to study the $R$-algebras $A$ such that there exists a finite algebraic ring extension $S$ of $R$ satisfying $A \otimes_R S = S[X]$, i.e., polynomial algebra in one indeterminate over $S$; and correspondingly aim to answer a few questions related to Epimorphism problem.
Source
Source
Science and Engineering Research Board (SERB), DST 2022-23
Indian Institute Of Space Science & Technology, Kerala
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