Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Lars Winther Christensen"'
Publikováno v:
Journal of Algebra. 567:346-370
We introduce a refinement of the Gorenstein flat dimension for complexes over an associative ring—the Gorenstein flat-cotorsion dimension—and prove that it, unlike the Gorenstein flat dimension, behaves as one expects of a homological dimension w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b8c1eb2e9632c68ac76bc26cb0ac9ca
https://doi.org/10.1016/j.jalgebra.2020.09.024
https://doi.org/10.1016/j.jalgebra.2020.09.024
Publikováno v:
Contemporary Mathematics
We introduce a notion of total acyclicity associated to a subcategory of an abelian category and consider the Gorenstein objects they define. These Gorenstein objects form a Frobenius category, whose induced stable category is equivalent to the homot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d6266350ca2167c896b5dbd21a1025d
https://doi.org/10.1090/conm/751/15112
https://doi.org/10.1090/conm/751/15112
Publikováno v:
Commutative Algebra ISBN: 9783030896935
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c19d6887d3aa9d009163f711edd9310
https://doi.org/10.1007/978-3-030-89694-2_7
https://doi.org/10.1007/978-3-030-89694-2_7
We study the Gorenstein weak global dimension of associative rings and its relation to the Gorenstein global dimension. In particular, we prove the conjecture that the Gorenstein weak global dimension is a left-right symmetric invariant -- just like
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa0fa9ab76d218779b52a0dfbe99319a
Publikováno v:
Proceedings of the American Mathematical Society
For a semi-separated noetherian scheme, we show that the category of cotorsion Gorenstein flat quasi-coherent sheaves is Frobenius and a natural non-affine analogue of the category of Gorenstein projective modules over a noetherian ring. We show that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::986e9a9227cbbcfe5eb59cdb42c11b77
https://hdl.handle.net/11250/2736198
https://hdl.handle.net/11250/2736198
Foxby defined the (Krull) dimension of a complex of modules over a commutative Noetherian ring in terms of the dimension of its homology modules. In this note it is proved that the dimension of a bounded complex of free modules of finite rank can be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a50d870b03390ade3faa1e19ae6d8e5
http://arxiv.org/abs/2009.04451
http://arxiv.org/abs/2009.04451
While every grade 2 perfect ideal in a regular local ring is linked to a complete intersection ideal, it is known not to be the case for ideals of grade 3. We soften the blow by proving that every grade 3 perfect ideal in a regular local ring is link
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af575f875ad31f38f93b58259268dfe1
https://ruj.uj.edu.pl/xmlui/handle/item/268136
https://ruj.uj.edu.pl/xmlui/handle/item/268136
Publikováno v:
Israel Journal of Mathematics. 221:1-24
We compare two generalizations of Tate homology: stable homology and the J-completion of Tor, also known as complete homology. For finitely generated modules, we show that the two theories agree over Artin algebras and over commutative noetherian rin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76d54bf994048659affdf476b261166c
https://doi.org/10.1007/s11856-017-1562-3
https://doi.org/10.1007/s11856-017-1562-3
Publikováno v:
Transactions of the American Mathematical Society. 369:8061-8086
We analyze stable homology over associative rings and obtain results over Artin algebras and commutative noetherian rings. Our study develops similarly for these classes; for simplicity we only discuss the latter here. Stable homology is a broad gene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6460f2031e6e0ccc0c8aecaa103ad55c
https://doi.org/10.1090/tran/6897
https://doi.org/10.1090/tran/6897
Publikováno v:
J. Commut. Algebra 11, no. 3 (2019), 325-339
Let Q be a regular local ring of dimension 3. We show how to trim a Gorenstein ideal in Q to obtain an ideal that defines a quotient ring that is close to Gorenstein in the sense that its Koszul homology algebra is a Poincare duality algebra P padded
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa93c2ab461c2adb7fde9a5513ce8675
https://doi.org/10.1216/jca-2019-11-3-325
https://doi.org/10.1216/jca-2019-11-3-325