Selfinjective algebras without short cycles of indecomposable modules
نویسندگان
چکیده
منابع مشابه
MAXIMAL n-ORTHOGONAL MODULES FOR SELFINJECTIVE ALGEBRAS
Let A be a finite-dimensional selfinjective algebra. We show that, for any n ≥ 1, maximal n-orthogonal A-modules (in the sense of Iyama) rarely exist. More precisely, we prove that if A admits a maximal n-orthogonal module, then all A-modules are of complexity at most 1.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2018
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2017.12.016