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pro vyhledávání: '"Monomial ideal"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 27955-27978 (2024)
The irreducible decomposition of a monomial ideal has played an important role in combinatorial commutative algebra, with applications beyond pure mathematics, such as biology. Given a monomial ideal $ I $ of a polynomial ring $ S = k[{\bf x}] $ over
Externí odkaz:
https://doaj.org/article/0fca4fb5d360455380929acee24f42aa
Publikováno v:
AIMS Mathematics, Vol 9, Iss 1, Pp 868-895 (2024)
Let $ S $ be a polynomial ring over a field and $ I $ be an edge ideal associated with some classes of circulant graphs. We discussed the algebraic invariants, namely, regularity, projective dimension, depth, and the Stanley depth of $ S/I. $
Externí odkaz:
https://doaj.org/article/f9614a05a32a4b4f918ac4a54f464c87
Publikováno v:
Heliyon, Vol 10, Iss 10, Pp e30689- (2024)
We compute the Castelnuovo-Mumford regularity of the quotient rings of edge ideals of perfect [ν,h]-ary trees and some unicyclic graphs.
Externí odkaz:
https://doaj.org/article/7315fb4aa85a4beaa3d43c8fe8a68f65
Akademický článek
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Autor:
Malik Muhammad Suleman Shahid, Muhammad Ishaq, Anuwat Jirawattanapanit, Khanyaluck Subkrajang
Publikováno v:
AIMS Mathematics, Vol 7, Iss 9, Pp 16449-16463 (2022)
In this paper, we study depth and Stanley depth of the quotient rings of the edge ideals associated to triangular and multi triangular snake and triangular and multi triangular ouroboros snake graphs. In some cases, we find exact values, otherwise, w
Externí odkaz:
https://doaj.org/article/3b3594a3654c4a8d88b9a6e988fdaf25