On the G-quadratic and LG-quadratic of the Exterior Algebra and Associated Algebra

Ruaa Yousuf Jawad

doi:10.24996/ijs.2023.64.7.24

Authors

Ruaa Yousuf Jawad Technical Instructors Training Institute, Middle Technical University, Baghdad, Iraq https://orcid.org/0000-0002-7293-4684

DOI:

https://doi.org/10.24996/ijs.2023.64.7.24%20%20

Keywords:

Initial ideal, Exterior algebra, Associated algebra, G-quadratic, LG-quadratic

Abstract

Given an exterior algebra over a finite dimension vector space v, and let , where is a graded ideal in . The relation between the algebra and regarding to -quadratic and - quadratic will be investigated. We show that the algebra is - quadratic if and only if is - quadratic. Furthermore, it has been shown that the algebra is - quadratic if and only if is - quadratic.

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Published

2023-07-30

Issue

Vol 64 No 7 (2023)

Section

Mathematics

How to Cite

[1]

R. Y. Jawad, “On the G-quadratic and LG-quadratic of the Exterior Algebra and Associated Algebra”, Iraqi Journal of Science, vol. 64, no. 7, pp. 3437–3441, Jul. 2023, doi: 10.24996/ijs.2023.64.7.24 .