Výsledky vyhledávání - "Smalø, S. O."

Report

A Homological Bridge Between Finite and Infinite Dimensional Representations of Algebras

Autor: Huisgen-Zimmermann, B., Smalø, S. O.

Publikováno v: Algebras and Representation Theory 1 (1998) 169-188

Given a finite dimensional algebra $\Lambda$, we show that a frequently satisfied finiteness condition for the category ${\cal P}^{\infty}(\Lambda\rm{-mod})$ of all finitely generated (left) $\Lambda$-modules of finite projective dimension, namely co

Externí odkaz: http://arxiv.org/abs/1407.2326

Zobrazit plný text záznamu

Report

Co- Versus Contravariant Finiteness of Categories of Representations

Autor: Huisgen-Zimmermann, B., Smalø, S. O.

Publikováno v: in Advances in Ring Theory (S.K. Jain and S.T. Rizvi, Eds.), pp. 129-144, Boston (1997) Birkhaeuser

This article supplements recent work of the authors. (1) A criterion for failure of covariant finiteness of a full subcategory of $\Lambda\text{-mod}$ is given, where $\Lambda$ is a finite dimensional algebra. The criterion is applied to the category

Externí odkaz: http://arxiv.org/abs/1407.2300

Zobrazit plný text záznamu

Report

The homology of string algebras I

Autor: Huisgen-Zimmermann, B., Smalo, S. O.

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: http://arxiv.org/abs/math/0111001

Zobrazit plný text záznamu