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.
Patents
0
Source
Source
Science and Engineering Research Board (SERB), DST 2022-23
Science and Engineering Research Board (SERB), New Delhi
Anusandhan National Research Foundation (ANRF)
Quick Information
Area of Research
Mathematical Sciences
Start Year
2023
End Year
2026
Sanction Amount
₹ 6.60 L
Status
Ongoing
Contact
prosenjit.das@gmail.com
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
00
No. of Patents
Filed :00
Grant :00
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