Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Carmelo Antonio Finocchiaro"'
Publikováno v:
Communications in Algebra. 49:4808-4819
We study the graph of zero-divisors of a quadratic quotient of a Rees algebra. We provide conditions in order to determine its girth and diameter, extending several results regarding amalgamated du...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8c3f38fcd708eb39f0398d9b6a5ad32
https://doi.org/10.1080/00927872.2021.1930025
https://doi.org/10.1080/00927872.2021.1930025
The main purpose of this paper is a wide generalization of one of the results abstract algebraic geometry begins with, namely of the fact that the prime spectrum $\mathrm{Spec}(R)$ of a unital commutative ring $R$ is always a spectral (=coherent) top
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3eefa7bef2475f23b7196eebe1338587
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030434151
Let D be an integral domain. We give an overview on connections between the (t)-finite character property of D (i.e., each nonzero element of D is contained in finitely many (t)-maximal ideals) and problems of local invertibility of ideals.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa5ae6057cbd7b270a65b2c0179f52db
http://hdl.handle.net/20.500.11769/486896
http://hdl.handle.net/20.500.11769/486896
We show that in the category of preordered sets there is a natural notion of pretorsion theory, in which the partially ordered sets are the torsion-free objects and the sets endowed with an equivalence relation are the torsion objects. Correspondingl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::072a9f6ee5e9ede03c39677900aab5a6
http://hdl.handle.net/11577/3338817
http://hdl.handle.net/11577/3338817
Publikováno v:
Università degli Studi di Catania-IRIS
Given an arbitrary spectral space $X$, we endow it with its specialization order $\leq$ and we study the interplay between suprema of subsets of $(X,\leq)$ and the constructible topology. More precisely, we investigate about when the supremum of a se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77c9570b8b7167d72f04002b4ead9fa0
http://hdl.handle.net/11390/1216590
http://hdl.handle.net/11390/1216590
Publikováno v:
Journal of Pure and Applied Algebra. 225:106692
Let A be the fiber product R × T B , where B → T is a surjective ring homomorphism with regular kernel and R ⊆ T is a ring extension where T is an overring of R. In this paper we provide a characterization of when A has distinguished Prufer-like
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c0656507e631d306ee74106d57f395c
https://doi.org/10.1016/j.jpaa.2021.106692
https://doi.org/10.1016/j.jpaa.2021.106692
Let [Formula: see text] be ring homomorphisms and let [Formula: see text] (respectively, [Formula: see text]) be an ideal of [Formula: see text] (respectively, [Formula: see text]) satisfying [Formula: see text]. Recently, Kabbaj, Louartiti and Tamek
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49df750ce343637aa476f85fed3e0f1d
http://hdl.handle.net/20.500.11769/382945
http://hdl.handle.net/20.500.11769/382945
Publikováno v:
Journal of Pure and Applied Algebra, Vol. 25, no.2, p. 106503 (2021)
We present a setting for the study of torsion theories in general categories. The idea is to associate, with any pair ($\mathcal T$, $\mathcal F$) of full replete subcategories in a category $\mathcal C$, the corresponding full subcategory $\mathcal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c53ef1876badb6ce221efd6a17ecac4
https://doi.org/10.1016/j.jpaa.2020.106503
https://doi.org/10.1016/j.jpaa.2020.106503
Publikováno v:
Journal of Algebra. 461:226-243
The patch/constructible refinement of the Zariski topology on the prime spectrum of a commutative ring is well known and well studied. Recently, Fontana and Loper gave an equivalent definition of this topology using ultrafilters. In this note we dist
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f67142a786b2d034eebb589ded2b6a1
https://doi.org/10.1016/j.jalgebra.2016.04.023
https://doi.org/10.1016/j.jalgebra.2016.04.023
Publikováno v:
Rocky Mountain J. Math. 48, no. 5 (2018), 1551-1583
Given an arbitrary spectral space $X$, we consider the set ${\boldsymbol{\mathcal{X}}}(X)$ of all nonempty subsets of $X$ that are closed with respect to the inverse topology. We introduce a Zariski-like topology on ${\boldsymbol{\mathcal{X}}}(X)$ an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8b0710ab66cefaf1ca7eeb41c90f3bf
http://arxiv.org/abs/1805.12454
http://arxiv.org/abs/1805.12454