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Research Projects

R-forms of R[X]

Implementing Organization

Indian Institute Of Space Science & Technology
Principal Investigator
Dr. Prosenjit Das
Indian Institute Of Space Science & Technology

About

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
Funding Organization
Funding Organization
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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