Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Roberto Martínez-Villa"'
Publikováno v:
Applied Categorical Structures. 21:311-348
In this paper we continue the project of generalizing tilting theory to the category of contravariant functors \(\mathrm{Mod}(\mathcal{C})\), from a skeletally small preadditive category \(\mathcal{C}\) to the category of abelian groups, initiated in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::513a71b6a1dab2fe132bb045440264ee
https://doi.org/10.1007/s10485-011-9266-z
https://doi.org/10.1007/s10485-011-9266-z
Publikováno v:
Communications in Algebra. 38:3941-3973
A contravariant functor is constructed from the stable projective homotopy theory of finitely generated graded modules over a finite-dimensional algebra to the derived category of its Yoneda algebra modulo finite complexes of modules of finite length
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::174d6ced18fabc2c0344da2532a48bbd
https://doi.org/10.1080/00927870903339980
https://doi.org/10.1080/00927870903339980
Autor:
Øyvind Solberg, Roberto Martínez-Villa
Publikováno v:
Journal of Algebra. 323:1369-1407
The category of all additive functors Mod ( mod Λ ) for a finite dimensional algebra Λ were shown to be left Noetherian if and only if Λ is of finite representation type by M. Auslander. Here we consider the category of all additive graded functor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b98e801a6fd322d30fe0629c4c8089a
https://doi.org/10.1016/j.jalgebra.2009.12.013
https://doi.org/10.1016/j.jalgebra.2009.12.013
Publikováno v:
Communications in Algebra. 35:3145-3163
A major result in Algebraic Geometry is the theorem of Bernstein–Gelfand–Gelfand that states the existence of an equivalence of triangulated categories: gr Λ ≅ 𝒟b(Coh ℙn), where gr Λ denotes the stable category of finitely generated grad
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::55d3c9fcc6863d5fdc5c9c73a40160ee
https://doi.org/10.1080/00914030701409825
https://doi.org/10.1080/00914030701409825
Autor:
Roberto Martínez-Villa, Alex Dugas
Publikováno v:
Journal of Pure and Applied Algebra. 208:421-433
We investigate when an exact functor F ≅ − ⊗ Λ M Γ : mod - Λ → mod - Γ which induces a stable equivalence is part of a stable equivalence of Morita type. If Λ and Γ are finite dimensional algebras over a field k whose semisimple quotien
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8449b5bda4e08fae3204e85d036a7812
https://doi.org/10.1016/j.jpaa.2006.01.007
https://doi.org/10.1016/j.jpaa.2006.01.007
Publikováno v:
International Journal of Algebra. 1:441-467
It is well known that Koszul algebras are quadratic and monomial quadratic algebras [7] and quadratic algebras of global dimension two are Koszul. It was also proved in [4] that algebras with a quadratic Groebner basis are Koszul, however there is no
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0315cc5579485ceca8e77e658a753ca3
https://doi.org/10.12988/ija.2007.07049
https://doi.org/10.12988/ija.2007.07049
Autor:
Roberto Martínez-Villa, Dan Zacharia
Publikováno v:
Compositio Mathematica. 142:397-408
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bae92d3eb26c622268003dd8ef0d2863
https://doi.org/10.1112/s0010437x05001703
https://doi.org/10.1112/s0010437x05001703
Publikováno v:
Communications in Algebra. 33:2569-2585
The operations of node deletion and insertion in a finite dimensional quiver algebra were introduced in Martinez-Villa (1980) as an abstraction of the operations used in earlier works (Auslander and Reiten, 1973; Bongartz and Riedtmann, 1979; Platzec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53d303dcd0863117b79ab31423c445d4
https://doi.org/10.1081/agb-200065142
https://doi.org/10.1081/agb-200065142
Publikováno v:
Representations of Algebras and Related Topics. :299-306
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34b4d902b0a300c30e69fd841eaaf633
https://doi.org/10.1090/fic/045/22
https://doi.org/10.1090/fic/045/22
Autor:
Roberto Martínez-Villa, Manuel Saorín
Publikováno v:
Colloquium Mathematicum. 103:155-168
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb39920bb3d05981e048ac7eccd85e76
https://doi.org/10.4064/cm103-2-1
https://doi.org/10.4064/cm103-2-1