Bi-sequentially Cohen–Macaulay bipartite graphs
| Autor: | Hardi N. Aziz, Amir Mafi, Farnaz Seyfpour |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Algebra and Number Theory
Mathematics::Commutative Algebra Computer Science::Information Retrieval Applied Mathematics Astrophysics::Instrumentation and Methods for Astrophysics Computer Science::General Literature Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) |
| Zdroj: | Journal of Algebra and Its Applications. 22 |
| ISSN: | 1793-6829 0219-4988 |
| DOI: | 10.1142/s0219498823501104 |
| Popis: | Let [Formula: see text] be the polynomial ring over a field [Formula: see text], [Formula: see text] be a graph on vertex set [Formula: see text] and [Formula: see text] be its edge ideal. In this paper, we study bi-sequentially Cohen–Macaulay (bi-SCM) bipartite graphs and as consequence we classify all bi-SCM tree graphs. Furthermore, if [Formula: see text] is bi-SCM then we determine the projective dimension of [Formula: see text]. Moreover, we give some examples. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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