Classification of modules not lying on short chains
A Jaworska, P Malicki, A Skowroński - arXiv preprint arXiv:1112.3464, 2011 - arxiv.org
arXiv:1112.3464v1 [math.RT] 15 Dec 2011 Page 1 arXiv:1112.3464v1 [math.RT] 15 Dec 2011
CLASSIFICATION OF MODULES NOT LYING ON SHORT CHAINS ALICJA JAWORSKA, PIOTR …
CLASSIFICATION OF MODULES NOT LYING ON SHORT CHAINS ALICJA JAWORSKA, PIOTR …
Modules not being the middle of short chains
A Jaworska, P Malicki… - The Quarterly Journal of …, 2013 - academic.oup.com
MODULES NOT BEING THE MIDDLE OF SHORT CHAINS Page 1 The Quarterly Journal of
Mathematics Advance Access published on December 23, 2012 Quart. J. Math. 64 (2013) …
Mathematics Advance Access published on December 23, 2012 Quart. J. Math. 64 (2013) …
Short chains and short cycles of modules
I Reiten, A Skowroński, SO Smalø - Proceedings of the American …, 1993 - ams.org
We show that for a large class of artin algebras including the algebras of finite
representation type, an indecomposable module $ M $ is not the middle of a short chain if …
representation type, an indecomposable module $ M $ is not the middle of a short chain if …
Cycles in module categories
A Skowroński - Finite dimensional algebras and related topics, 1994 - Springer
Let A be an artin algebra over a commutative artin ring R and mod A be the category of
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …
Tilted algebras and short chains of modules
A Jaworska, P Malicki, A Skowroński - Mathematische Zeitschrift, 2013 - Springer
We provide an affirmative answer for the question raised almost 20 years ago in Reiten et
al.(Proc. Am. Math. Soc. 117: 343–354, 1993) concerning the characterization of tilted artin …
al.(Proc. Am. Math. Soc. 117: 343–354, 1993) concerning the characterization of tilted artin …
On algebras stably equivalent to an hereditary artin algebra
MI Platzeck - Canadian Journal of Mathematics, 1978 - cambridge.org
Let Λ be an artin algebra, that is, an artin ring that is a finitely generated module over its
center C which is also an artin ring. We denote by mod Λ the category of finitely generated …
center C which is also an artin ring. We denote by mod Λ the category of finitely generated …
Large modules over artin algebras
M Auslander - Algebra, Topology, and Category Theory, 1976 - Elsevier
Publisher Summary This chapter discusses large modules over artin algebras. An artin ring
Λ is said to be an artin algebra if its center C is an artin ring and Λ is a finitely generated …
Λ is said to be an artin algebra if its center C is an artin ring and Λ is a finitely generated …
Generic modules over artin algebras
H Krause - Proceedings of the London Mathematical Society, 1998 - cambridge.org
Generic modules were introduced by Crawley-Boevey in order to provide a better
understanding of finite-dimensional algebras of tame representation type. In fact he has …
understanding of finite-dimensional algebras of tame representation type. In fact he has …
Artin algebras of finite type and finite categories of Δ-good modules
DD da Silva - Communications in Algebra, 2016 - Taylor & Francis
We give an alternative proof to the fact that, if the square of the infinite radical of the module
category of an Artin algebra is equal to zero, then the algebra is of finite type by making use …
category of an Artin algebra is equal to zero, then the algebra is of finite type by making use …
[HTML][HTML] The structure and homological properties of generalized standard Auslander–Reiten components
P Malicki, A Skowroński - Journal of Algebra, 2019 - Elsevier
We describe the structure and homological properties of arbitrary generalized standard
Auslander–Reiten components of artin algebras. In particular, we prove that for all but finitely …
Auslander–Reiten components of artin algebras. In particular, we prove that for all but finitely …