Projective dimensions and almost split sequences
Copyright policy )Projective dimensions and almost split sequences
In the theory of homological dimension it is a classical question to compare dimensions of terms appearing in certain exact sequences. The main result of the paper, Theorem 4.1, lists equivalent conditions implying that the projective dimension of the middle term in an almost split exact sequence is strictly smaller than the maximum of the ones of the other two. Examples are given to show that these conditions are logically independent.
- NTNU Norway
- Norwegian University of Science and Technology Norway
- NTNU Norway
Almost split sequences, Algebra and Number Theory, Homological dimensions, Homological dimension in associative algebras, short exact sequences, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, finitely generated modules, almost split sequences, Artin algebras, homological dimensions, finitistic dimension, Representations of associative Artinian rings
Almost split sequences, Algebra and Number Theory, Homological dimensions, Homological dimension in associative algebras, short exact sequences, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, finitely generated modules, almost split sequences, Artin algebras, homological dimensions, finitistic dimension, Representations of associative Artinian rings
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