Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Naoki Terai"'
Publikováno v:
Mathematics, Vol 7, Iss 8, p 684 (2019)
We show that Cohen-Macaulay and (S 2 ) properties are equivalent for the second power of an edge ideal. We give an example of a Gorenstein squarefree monomial ideal I such that S / I 2 satisfies the Serre condition (S 2 ), but is not Cohen-Macaulay.
Externí odkaz:
https://doaj.org/article/9fc5732e046843e6b8791ff73719b299
Autor:
Anne Frühbis-Krüger, Naoki Terai
Publikováno v:
Le Matematiche, Vol 53, Iss 3, Pp 83-97 (1998)
See directly the article.
Externí odkaz:
https://doaj.org/article/752cdc8031214aacbb4593bd8dc742c5
Autor:
Giancarlo Rinaldo, Naoki Terai
Publikováno v:
São Paulo Journal of Mathematical Sciences.
Publikováno v:
Acta Mathematica Vietnamica. 47:181-196
A concept of Cohen–Macaulay in codimension t is defined and characterized for arbitrary finitely generated modules and coherent sheaves by Miller, Novik, and Swartz in 2011. Soon after, Haghighi, Yassemi, and Zaare-Nahandi defined and studied CMt s
Publikováno v:
Research in the Mathematical Sciences. 9
Publikováno v:
Nagoya Mathematical Journal. 246:233-255
We study powers of binomial edge ideals associated with closed and block graphs.
We characterize unmixed and Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs. We also provide examples of oriented graphs which have unmixed and non-Cohen-Macaulay vertex-weighted edge ideals, while the edge ideal of their underly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e7d380fa24f6b71217d3b6abdc29883
Publikováno v:
Combinatorial Structures in Algebra and Geometry ISBN: 9783030521103
Via computer-aided classification we show that the following three conditions are equivalent for level* squarefree monomial ideals I with codimension 3, with Cohen-Macaulay type 2 and with \( \dim S/I \le 4\): (1) \(IS_{{\mathfrak m}}\) is licci, (2)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a067551ac1352fe39d9d0c64801eaa23
https://doi.org/10.1007/978-3-030-52111-0_10
https://doi.org/10.1007/978-3-030-52111-0_10
Publikováno v:
Nagoya Mathematical Journal. 230:160-179
A very well-covered graph is an unmixed graph whose covering number is half of the number of vertices. We construct an explicit minimal free resolution of the cover ideal of a Cohen–Macaulay very well-covered graph. Using this resolution, we charac
Publikováno v:
Journal of Algebra. 473:307-323
We give a bound for n 0 ( I ) from which the depth function depth R / I ( n ) of the quotient ring by symbolic powers of a squarefree monomial ideal I stabilizes. In the unmixed codimension two case we show that depth R / I ( n ) is a non-increasing