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pro vyhledávání: '"Herbera, Dolors"'
For a commutative noetherian ring $R$, we classify all the hereditary cotorsion pairs cogenerated by pure-injective modules of finite injective dimension. The classification is done in terms of integer-valued functions on the spectrum of the ring. Ea
Externí odkaz:
http://arxiv.org/abs/2411.04514
We show that various methods for explicitly building resolutions of unbounded complexes in fact fail when applied to a rather simple and explicit complex. We show that one way to rescue these methods is to assume Roos (Ab.4$^*$)-$k$ axiom, which we a
Externí odkaz:
http://arxiv.org/abs/2407.09741
Let $R$ be a domain of Krull dimension one, we study when the class $\mathcal{F}$ of modules over $R$ that are arbitrary direct sums of finitely generated torsion-free modules is closed under direct summands. If $R$ is local, we show that $\mathcal{F
Externí odkaz:
http://arxiv.org/abs/2406.14665
A module over a ring $R$ is pure projective provided it is isomorphic to a direct summand of a direct sum of finitely presented modules. We develop tools for the classification of pure projective modules over commutative noetherian rings. In particul
Externí odkaz:
http://arxiv.org/abs/2311.05338
Autor:
Herbera, Dolors
This notes aims to clarify the proof given by Raynaud and Gruson that the Mittag-Leffler property descents via pure rings monomorphism of commutative rings. A consequence of that is that projectivity dencents via such ring homomorphisms, a revision o
Externí odkaz:
http://arxiv.org/abs/2209.14929
Akademický článek
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Autor:
Herbera, Dolors, Prihoda, Pavel
We make a detailed study of idempotent ideals that are traces of countably generated projective right modules. We associate to such ideals an ascending chain of finitely generated left ideals and, dually, a descending chain of cofinitely generated ri
Externí odkaz:
http://arxiv.org/abs/1309.5021
Publikováno v:
J. Pure Appl. Algebra 218 (2014), 1696-1711
Recently, tilting and cotilting classes over commutative noetherian rings have been classified in arXiv:1203.0907. We proceed and, for each n-cotilting class C, construct an n-cotilting module inducing C by an iteration of injective precovers. A furt
Externí odkaz:
http://arxiv.org/abs/1306.6788
Autor:
Herbera, Dolors, Sánchez, Javier
Let X be a finite set with at least two elements, and let k be any commutative field. We prove that the inversion height of the embedding k ---> D, where D denotes the universal (skew) field of fractions of the free algebra k, is infinite. Ther
Externí odkaz:
http://arxiv.org/abs/1303.5287
Autor:
Herbera, Dolors, Prihoda, Pavel
We use pullbacks of rings to realize the submonoids $M$ of $(\N_0\cup\{\infty\})^k$ which are the set of solutions of a finite system of linear diophantine inequalities as the monoid of isomorphism classes of countably generated projective right $R$-
Externí odkaz:
http://arxiv.org/abs/1105.3627