Cleanness of Cohen–Macaulay monomial ideal generated by at most five elements
Enomoto, Chihiro1 ; Yoshida, Ken-ichi1
1 Nihon University, Tokyo, Japan
Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 243-268.
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In this paper, we prove that any Cohen–Macaulay monomial ideal generated by at most five elements is clean.

Publié le :
DOI : 10.4171/RSMUP/25
Classification : 13, 00
Mots-clés : Clean, Cohen–Macaulay, Alexander duality, linear quotient, hypergraph
Enomoto, Chihiro 1 ; Yoshida, Ken-ichi 1

1 Nihon University, Tokyo, Japan 
@article{RSMUP_2019__141__243_0,
     author = {Enomoto, Chihiro and Yoshida, Ken-ichi},
     title = {Cleanness of {Cohen{\textendash}Macaulay} monomial ideal generated by at most five elements},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {243--268},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {141},
     year = {2019},
     doi = {10.4171/RSMUP/25},
     mrnumber = {3962831},
     zbl = {1420.13051},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/25/}
}
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Enomoto, Chihiro; Yoshida, Ken-ichi. Cleanness of Cohen–Macaulay monomial ideal generated by at most five elements. Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 243-268. doi : 10.4171/RSMUP/25. http://www.numdam.org/articles/10.4171/RSMUP/25/

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