B\'ezout theorem for a graded ideal in a ring of generalized polynomials

TL;DR

This paper establishes an upper bound for the leading coefficient of the characteristic polynomial associated with a graded ideal in a ring of generalized polynomials, extending algebraic understanding in this area.

Contribution

It introduces a new bound for the leading coefficient of characteristic polynomials in the context of graded ideals within generalized polynomial rings.

Findings

Proved an upper bound for the leading coefficient.

Extended algebraic properties to generalized polynomial rings.

Enhanced understanding of characteristic polynomials in graded ideals.

Abstract

The article proved the upper bound of leading coefficient of characteristic polynomial of graded ideal in a ring of generalized polynomials.