Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Anda Olteanu"'
Publikováno v:
Le Matematiche, Vol 63, Iss 2, Pp 229-241 (2008)
In this paper we characterize the componentwise lexsegment ideals which are componentwise linear and the lexsegment ideals generated in one degree which are Gotzmann.
Externí odkaz:
https://doaj.org/article/209f97c2c57f4de192903af289abb951
Autor:
Anda Olteanu
Publikováno v:
Anda Olteanu
We describe all the trees with the property that the corresponding edge ideal of the square of the tree has a linear resolution. As a consequence, we give a complete characterization of those trees $T$ for which the square is co-chordal, that is the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c60d6589b265fdd1ddbe2cf9ff15770f
http://arxiv.org/abs/2003.10187
http://arxiv.org/abs/2003.10187
Autor:
Oana Olteanu, Anda Olteanu
Publikováno v:
Mathematica Slovaca. 68:319-330
We consider the Alexander dual of path ideals of cycle posets, and we compute the Castelnuovo-Mumford regularity. As a consequence, we get the projective dimension of path ideals of cycle posets. Our results are expressed in terms of the combinatoric
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36c9492ea8ecfd6ecfac591dc4c89b8e
https://doi.org/10.1515/ms-2017-0103
https://doi.org/10.1515/ms-2017-0103
Autor:
Anda Olteanu, Martina Kubitzke
Publikováno v:
Journal of Pure and Applied Algebra. 218:1012-1033
We consider path ideals associated to special classes of posets such as tree posets and cycles. We express their property of being sequentially Cohen–Macaulay in terms of the underlying poset. Moreover, monomial ideals, which arise in algebraic sta
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c7303815870869cb69883ee3523e67f
https://doi.org/10.1016/j.jpaa.2013.11.001
https://doi.org/10.1016/j.jpaa.2013.11.001
Publikováno v:
Osaka J. Math. 47, no. 1 (2010), 67-87
Scopus-Elsevier
Scopus-Elsevier
We show that any lexsegment ideal with linear resolution has linear quotients with respect to a suitable ordering of its minimal monomial generators. For completely lexsegment ideals with linear resolution we show that the decomposition function is r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79efab34f22d48df5609929431b27861
https://dlisv03.media.osaka-cu.ac.jp/il/meta_pub/G0000438repository_111F0000002-04701-5
https://dlisv03.media.osaka-cu.ac.jp/il/meta_pub/G0000438repository_111F0000002-04701-5
Publikováno v:
Combinatorial Aspects of Commutative Algebra. :5-24
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e4564dee0d1c8d2f01d82e81897eec7
https://doi.org/10.1090/conm/502/09853
https://doi.org/10.1090/conm/502/09853
Autor:
Anda Olteanu
Publikováno v:
Combinatorial Aspects of Commutative Algebra. :157-168
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0f84d4205c808ec4c533ab3c789fa75
https://doi.org/10.1090/conm/502/09862
https://doi.org/10.1090/conm/502/09862
Autor:
Volkmar Welker, Anda Olteanu
Publikováno v:
J. Commut. Algebra 8, no. 4 (2016), 571-587
We define the Buchberger resolution, which is a graded free resolution of a monomial ideal in a polynomial ring. Its construction uses a generalization of the Buchberger graph and encodes much of the combinatorics of the Buchberger algorithm. The Buc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c08d8c0000fde5b15c5a44d12ff3491a
Autor:
Anda Olteanu
We consider powers of lexsegment ideals with a linear resolu- tion (equivalently, with linear quotients) which are not completely lexseg- ment ideals. We give a complete description of their minimal graded free resolution.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07545382361bd6231d13eb0691ebc5cf
http://arxiv.org/abs/1206.6731
http://arxiv.org/abs/1206.6731
Autor:
Anda Olteanu
B. Sturmfels and S. Sullivant associated to any graph a toric ideal, called the cut ideal. We consider monomial cut ideals, and we show that the algebraic properties of monomial cut ideals, such as the minimal primary decomposition, the property of h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b5d6d0c642adeb9d852411545b3a82d4