An Application of a Theorem of Ziegler.
An explicit construction for the Happel functor
An easy explicit construction is given for a full and faithful functor from the bounded derived category of modules over an associative algebra A to the stable category of the repetitive algebra of A. This construction simplifies the one given by Happel.
An isomorphism problem for algebras defined by some quivers and nonadmissible ideals
Given a quiver Q, a field K and two (not necessarily admissible) ideals I, I' in the path algebra KQ, we study the problem when the factor algebras KQ/I and KQ/I' of KQ are isomorphic. Sufficient conditions are given in case Q is a tree extension of a cycle.
An orbit closure for a representation of the Kronecker quiver with bad singularities
We give an example of a representation of the Kronecker quiver for which the closure of the corresponding orbit contains a singularity smoothly equivalent to the isolated singularity of two planes crossing at a point. Therefore this orbit closure is neither Cohen-Macaulay nor unibranch.
Anti-Isomorphisms of Endomorphism Rings of Locally Free Modules.
Applications logiques en théorie des anneaux et des modules
Applications of Factor Categories to Completely Indecomposable Modules
Applications of Model Theory to Representations of Finite-Dimensional Algebras.
Applications of spinor class fields: embeddings of orders and quaternionic lattices
We extend the theory of spinor class fields and relative spinor class fields to study representation problems in several classical linear algebraic groups over number fields. We apply this theory to study the set of isomorphism classes of maximal orders of central simple algebras containing a given maximal Abelian suborder. We also study isometric embeddings of one skew-Hermitian Quaternionic lattice into another.
Auslander-Reiten components for concealed-canonical algebras
Auslander-Reiten Quivers of local orders of finite lattice type.
Auslander-Reiten triangles in derived categories.
Automorphisms of Representation Finite Algebras.
Band combinatorics of domestic string algebras
We prove that the multiplicity of a simple module as a composition factor in a composition series for a primitive band module over a domestic string algebra is at most two.
Bar-invariant bases of the quantum cluster algebra of type
We construct bar-invariant -bases of the quantum cluster algebra of the valued quiver , one of which coincides with the quantum analogue of the basis of the corresponding cluster algebra discussed in P. Sherman, A. Zelevinsky: Positivity and canonical bases in rank 2 cluster algebras of finite and affine types, Moscow Math. J., 4, 2004, 947–974.
Berichtigung zu: Unzerlegbare Darstellungen I.
Bimodule resolution of Möbius algebras.
Binary Polyhedral Groups and Euclidean Diagrams.
Bipartite coalgebras and a reduction functor for coradical square complete coalgebras
Let C be a coalgebra over an arbitrary field K. We show that the study of the category C-Comod of left C-comodules reduces to the study of the category of (co)representations of a certain bicomodule, in case C is a bipartite coalgebra or a coradical square complete coalgebra, that is, C = C₁, the second term of the coradical filtration of C. If C = C₁, we associate with C a K-linear functor that restricts to a representation equivalence , where is a coradical square complete hereditary bipartite...
Bound quivers of three-separate stratified posets, their Galois coverings and socle projective representations
A class of stratified posets is investigated and their incidence algebras are studied in connection with a class of non-shurian vector space categories. Under some assumptions on we associate with a bound quiver (Q, Ω) in such a way that . We show that the fundamental group of (Q, Ω) is the free group with two free generators if is rib-convex. In this case the universal Galois covering of (Q, Ω) is described. If in addition is three-partite a fundamental domain of this covering is...