Derivation modules for Sum and Gluing
Joydip Saha, Indranath Sengupta
TL;DR
This paper explicitly computes derivation modules for polynomial ring quotients formed by sum or gluing of ideals, with detailed analysis of monomial and binomial cases.
Contribution
It provides explicit formulas and methods for derivation modules in quotient rings formed by sum and gluing of polynomial ideals, including special cases.
Findings
Explicit derivation modules for sum of ideals
Derivation modules for gluing of ideals
Analysis of monomial and binomial ideal cases
Abstract
In this paper we explicitly compute the derivation module of quotients of polynomial rings by ideals formed by the sum or by some other gluing technique. We discuss cases of monomial ideals and binomial ideals separately.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Rings, Modules, and Algebras