Journal• ISSN: 1939-2346
Journal of Commutative Algebra
Rocky Mountain Mathematics Consortium
About: Journal of Commutative Algebra is an academic journal published by Rocky Mountain Mathematics Consortium. The journal publishes majorly in the area(s): Local ring & Monomial. It has an ISSN identifier of 1939-2346. Over the lifetime, 314 publications have been published receiving 2852 citations. The journal is also known as: JCA.
Topics: Local ring, Monomial, Polynomial ring, Ideal (ring theory), Noetherian
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Papers
395 citations
96 citations
TL;DR: In this paper, the co-chordal cover number of a graph was shown to give an upper bound for the Castelnuovo-Mumford regularity of the associated edge ideal.
Abstract: We show that the co-chordal cover number of a graph $G$ gives an upper bound for the Castelnuovo-Mumford regularity of the associated edge ideal. Several known combinatorial upper bounds of regularity for edge ideals are then easy consequences of covering results from graph theory, and we derive new upper bounds by looking at additional covering results.
73 citations
TL;DR: In this paper, it was shown that the edge ideal of a connected bipartite graph with regularity 3 is the same as that of a graph with edge ideal ideal of an edge ideal in a graph of regularity 2.
Abstract: In this paper, we prove that, if $I(G)$ is the edge ideal of a connected bipartite graph with regularity 3, then, for all $s\geq 2$, the regularity of $I(G)^s$ is exactly $2s+1$.
63 citations
TL;DR: In this paper, a regular cell complex is constructed which supports the EliahouKervaire resolution of a stable ideal. But the complexity of the cell complex remains undecidable.
Abstract: We construct a regular cell complex which supports the EliahouKervaire resolution of a stable ideal.
47 citations
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 34 |
| 2024 | 29 |
| 2023 | 36 |
| 2022 | 39 |
| 2021 | 11 |
| 2020 | 25 |