Corrigendum to “Tilting modules over small Dedekind domains”
نویسندگان
چکیده
منابع مشابه
Projective Modules over Dedekind Domains
In these notes we will first define projective modules and prove some standard properties of those modules. Then we will classify finitely generated projective modules over Dedekind domains Remark 0.1. All rings will be commutative with 1. 1. Projective modules Definition 1.1. Let R be a ring and let M be an R-module. Then M is called projective if for all surjections p : N → N ′ and a map f : ...
متن کاملTilting Modules over Almost Perfect Domains
We provide a complete classification of all tilting modules and tilting classes over almost perfect domains, which generalizes the classifications of tilting modules and tilting classes over Dedekind and 1-Gorenstein domains. Assuming the APD is Noetherian, a complete classification of all cotilting modules is obtained (as duals of the tilting ones).
متن کاملPrimary Decomposition of Modules over Dedekind Domains Using Gröbner Bases
In [6] was proved that if R is a principal ideal domain and N ⊂ M are submodules of R[x1, . . . , xn], then the primary decomposition for N in M can be computed using Gröbner bases. In this paper we extend this result to Dedekind domains. The procedure that computed the primary decomposition is illustrated with an example.
متن کاملPartial tilting modules over m - replicated algebras ⋆
Let A be a hereditary algebra over an algebraically closed field k andA(m) be them-replicated algebra of A. Given an A(m)-module T , we denote by δ(T ) the number of non isomorphic indecomposable summands of T . In this paper, we prove that a partial tilting A(m)module T is a tilting A(m)-module if and only if δ(T ) = δ(A(m)), and that every partial tilting A(m)-module has complements. As an ap...
متن کاملOn Tilting Modules over Cluster-tilted Algebras
In this paper, we show that the tilting modules over a clustertilted algebra A lift to tilting objects in the associated cluster category CH . As a first application, we describe the induced exchange relation for tilting Amodules arising from the exchange relation for tilting object in CH . As a second application, we exhibit tilting A-modules having cluster-tilted endomorphism algebras. Cluste...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2003
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(03)00081-1