JOURNAL ARTICLE

Towards a theory of Inc-compatible term orders in polynomial rings in infinitely many variables.

  • Published In: Discrete Mathematics, Algorithms & Applications, 2025, v. 17, n. 5. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Bilal, Hafiz Muhammad; Ahmad, Sarfraz 3 of 3

Abstract

Monomial ordering is the process of putting single polynomial terms, or monomials, in a certain order depending on predefined principles. It facilitates the systematic grouping and comparison of monomials, as well as the division and factorization of polynomials and other algebraic operations. Let R : = [ x i , j | i ∈ [ c ] , j ∈ ℕ ] , be a polynomial ring over arbitrary field , where c is any fixed natural number. In this paper, we have defined different orderings like lexicographical, degree lexicographical and reverse degree lexicographical ordering on polynomial ring. We have discussed the infinitely many Inc-compatible term ordering on polynomial ring R with respect to two different weight vectors W c and W c , n ′. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Discrete Mathematics, Algorithms & Applications. 2025/07, Vol. 17, Issue 5, p1
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2025
  • ISSN:1793-8309
  • DOI:10.1142/S1793830924500794
  • Accession Number:186087142
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