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pro vyhledávání: '"Enrico Sbarra"'
In this survey paper, we first present the main properties of sequentially Cohen–Macaulay modules. Some basic examples are provided to help the reader with quickly getting acquainted with this topic. We then discuss two generalizations of the notio
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2700440b3dd3d91c3f3063a86d61061
http://arxiv.org/abs/2304.06609
http://arxiv.org/abs/2304.06609
Autor:
Enrico Sbarra, Maurizio Zanardo
Inspired by a very recent work of A. {\DH}uri\'c, S. Jev{\dj}eni\'c and N. Stopar, we introduce a new definition of zero-divisor graphs attached to rings, that includes all of the classical definitions already known in the literature. We provide an i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::441ebb609c097a6a45ab17760034ca81
This book provides a first introduction to the fundamental concepts of commutative algebra. What sets it apart from other textbooks is the extensive collection of 400 solved exercises, providing readers with the opportunity to apply theoretical knowl
Autor:
Enrico Sbarra, Emanuela De Negri
Jet schemes and arc spaces received quite a lot of attention by researchers after their introduction, due to J. Nash, and established their importance as an object of study in M. Kontsevich's motivic integration theory. Several results point out that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34deb2eb1ba0fad00cfb00b93176f3f2
http://arxiv.org/abs/1901.09602
http://arxiv.org/abs/1901.09602
Autor:
Enrico Sbarra, Giulio Caviglia
Publikováno v:
Mathematische Annalen. 364:225-241
We prove an inequality between Hilbert functions of local cohomology modules supported in the homogeneous maximal ideal of standard graded algebras over a field, within the framework of embeddings of posets of Hilbert functions. As a main application
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7403b12c7058ae9f0e98ffbf66e1442
https://doi.org/10.1007/s00208-015-1180-5
https://doi.org/10.1007/s00208-015-1180-5
Autor:
Francesco Strazzanti, Enrico Sbarra
The relationships between the invariants and the homological properties of $I$, ${\rm Gin}(I)$ and $I^{\rm lex}$ have been studied extensively over the past decades. A result of A. Conca, J. Herzog and T. Hibi points out some rigid behaviours of thei
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ed2c63ad38e1252765418ae3cabbb9b
http://hdl.handle.net/11568/854952
http://hdl.handle.net/11568/854952
Autor:
Enrico Sbarra
Publikováno v:
Communications in Algebra. 29:5383-5409
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79c4b7f3e3cf14b1b2a514b51e07a6b4
https://doi.org/10.1081/agb-100107934
https://doi.org/10.1081/agb-100107934
Autor:
Giulio Caviglia, Enrico Sbarra
We study, by means of embeddings of Hilbert functions, a class of rings which we call Shakin rings, i.e. quotients K[X_1,...,X_n]/a of a polynomial ring over a field K by ideals a=L+P which are the sum of a piecewise lex-segment ideal L, as defined b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8178394444f1a36af08567e308b5e64f
http://arxiv.org/abs/1308.4659
http://arxiv.org/abs/1308.4659
Autor:
Giulio Caviglia, Enrico Sbarra
Publikováno v:
J. Commut. Algebra 5, no. 1 (2013), 49-62
We study the set of circuits of a homogeneous ideal and that of its truncations, and introduce the notion of generic circuits set. We show how this is a well-defined invariant that can be used, in the case of initial ideals with respect to weights, a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6221a73a7dedf64a2ab3986fbb2011f1
http://projecteuclid.org/euclid.jca/1372776626
http://projecteuclid.org/euclid.jca/1372776626
Autor:
Giulio Caviglia, Enrico Sbarra
Given a homogeneous ideal I of a polynomial ring A=K[X_1,...,X_n] and a monomial order, we construct a new monomial ideal of A associated with I. We call it the zero-generic initial ideal of I with respect to the order and denote it with gin_0(I), or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42e805293ca9c131a144cc20acbb71ed