Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Sverre O. Smalo"'
Publikováno v:
Journal of Algebra. 331:130-144
We determine the irreducible components of the variety of d-dimensional modules over the algebra k 〈 α , β 〉 / 〈 α 2 , β 2 , β α + q α β 〉 with q ∈ k ⁎ , for any d, and we describe any intersection of irreducible components as the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd3d777fe1d827ddcbf399791301f61a
https://doi.org/10.1016/j.jalgebra.2010.11.009
https://doi.org/10.1016/j.jalgebra.2010.11.009
Autor:
Sverre O. Smalo
Publikováno v:
Milan Journal of Mathematics. 76:135-164
The purpose of this note is to give a fast introduction to some problems of homological and geometrical nature related to finite-dimensional representations of finitely generated, and especially, finite-dimensional algebras over a field. Some of thes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8df188202e2a14e624e5f800875360b2
https://doi.org/10.1007/s00032-007-0082-8
https://doi.org/10.1007/s00032-007-0082-8
Autor:
Sverre O. Smalo, Anita Valenta
Publikováno v:
Colloquium Mathematicum. 108:63-71
Using geometrical methods, Huisgen-Zimmermann shows in [H-Z] that if M is a module with simple top, then M has no proper degeneration M
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb8a933b54f09c5440bc68bacf130691
https://doi.org/10.4064/cm108-1-6
https://doi.org/10.4064/cm108-1-6
Autor:
B. Huisgen-Zimmermann, Sverre O. Smalo
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2005:1-37
We show that string algebras are `homologically tame' in the following sense: First, the syzygies of arbitrary representations of a finite dimensional string algebra $\Lambda$ are direct sums of cyclic representations, and the left finitistic dimensi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ca1531a1520e738eeb6c5d48b284432
https://doi.org/10.1515/crll.2005.2005.580.1
https://doi.org/10.1515/crll.2005.2005.580.1
Publikováno v:
Journal of Algebra. 251(1):475-478
In this note we prove that for a left artinian ring of infinite global dimension there exists an indecomposable left module with both infinite projective dimension and infinite injective dimension.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76ef7196f6b300bfc58b2b09f780c69d
Publikováno v:
Communications in Algebra. 29:593-610
Let M be an indecomposable nondirecting module over a finite dimensional k-algebra Λ, and form the extension of Λ by the Λ–G-bimodule M, where G ⊆ EndΛ (M)op. We will show that if such an extension is quasitilted, then G = EndΛ (M)op and G i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8bce082f2ed855353cb10882ebe7e0e8
https://doi.org/10.1081/agb-100001526
https://doi.org/10.1081/agb-100001526
Autor:
Sverre O. Smalo
Publikováno v:
Proceedings of the American Mathematical Society. 129:695-698
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d16c95c8bc2e7bce01f7415836f954eb
https://doi.org/10.1090/s0002-9939-00-05625-2
https://doi.org/10.1090/s0002-9939-00-05625-2
Autor:
Lidia Angeleri Hügeli, Sverre O. Smalo
Publikováno v:
Colloquium Mathematicum. 81:293-297
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8905f71e701adeb548364fd56d4145f7
https://doi.org/10.4064/cm-81-2-293-297
https://doi.org/10.4064/cm-81-2-293-297
Autor:
Sverre O. Smalo
Publikováno v:
Communications in Algebra. 35:1223-1225
The purpose of this note is to give an elementary proof of the fact discovered by Bautista and Perez that for an Artin algebra a module without selfextension is determined by its top and its first syzygy.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::58f2cca4e68ca26c0b96d4cea459dc15
https://doi.org/10.1080/00927870601142165
https://doi.org/10.1080/00927870601142165
Autor:
Stig Venås, Sverre O. Smalo
Publikováno v:
Archiv der Mathematik. 70:182-186
This paper is devoted to proving the following result: An artin algebra is of infinite representation type if and only if there is no bound on the lengths of the endomorphism rings of finitely generated indecomposable modules, where the endomorphism
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::57f84f6bb079b2324382228a56c63053
https://doi.org/10.1007/s000130050182
https://doi.org/10.1007/s000130050182