On non-standard graded algebras
G.Dalzotto, E. Sbarra
TL;DR
This paper investigates quotients of non-standard graded polynomial rings using combinatorial and commutative algebra techniques, addressing the complexities of positively graded algebras which are less understood than standard graded cases.
Contribution
It introduces new methods for studying non-standard graded algebras, expanding the understanding of their structure and properties.
Findings
Developed combinatorial tools for non-standard graded algebras
Identified structural properties of quotients of non-standard graded polynomial rings
Provided new insights into the complexity of positively graded algebraic objects
Abstract
Positively graded algebras are fairly natural objects which are arduous to be studied. In this article we query quotients of non-standard graded polynomial rings with combinatorial and commutative algebra methods.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Advanced Topics in Algebra