Pre-Projective Parts of Tilting Quivers Over Certain Path Algebras

R Kase - Communications in Algebra, 2014 - Taylor & Francis
Happel and Unger defined a partial order on the set of basic tilting modules. We study the
poset of basic preprojective tilting modules over path algebras of representation-infinite type …

A pre-projective part of tilting quivers of certain path algebras

R Kase - arXiv preprint arXiv:1212.0359, 2012 - arxiv.org
D. Happel and L. Unger defined a partial order on the set of basic tilting modules. We study
the poset of basic pre-projective tilting modules over path algebra of infinite type. First we …

[HTML][HTML] Distributive lattices and the poset of pre-projective tilting modules

R Kase - Journal of Algebra, 2014 - Elsevier
Abstract D. Happel and L. Unger defined a partial order on the set of basic tilting modules.
We study the poset of basic pre-projective tilting modules over path algebra of infinite type …

The number of arrows in the quiver of tilting modules over a path algebra of type and

R Kase - arXiv preprint arXiv:1101.4747, 2011 - arxiv.org
arXiv:1101.4747v2 [math.RT] 30 Aug 2011 Page 1 arXiv:1101.4747v2 [math.RT] 30 Aug
2011 THE NUMBER OF ARROWS IN THE QUIVER OF TILTING MODULES OVER A PATH …

Taking tilting modules from the poset of support tilting modules

R Kase - Mathematische Zeitschrift, 2015 - Springer
Abstract C. Ingalls and H. Thomas defined support tilting modules for path algebras. From τ τ-
tilting theory introduced by T. Adachi, O. Iyama and I. Reiten, a partial order on the set of …

The number of arrows in the quiver of tilting modules over a path algebra of Dynkin type

R Kase - Tsukuba Journal of Mathematics, 2013 - projecteuclid.org
THE NUMBER OF ARROWS IN THE QUIVER OF TILTING MODULES OVER A PATH
ALGEBRA OF DYNKIN TYPE Page 1 TSUKUBA J. MATH. Vol. 37 No. 1 (2013), 153–177 THE …

Distributive lattices of tilting modules and support τ-tilting modules over path algebras

Y Yang - Glasgow Mathematical Journal, 2017 - cambridge.org
DISTRIBUTIVE LATTICES OF TILTING MODULES AND SUPPORT τ-TILTING MODULES OVER
PATH ALGEBRAS Page 1 Glasgow Math. J. 59 (2017) 503–511. C Glasgow Mathematical …

[HTML][HTML] Tilting and cotilting for quivers of type An

AB Buan, H Krause - Journal of Pure and Applied Algebra, 2004 - Elsevier
Tilting and cotilting modules are classified for the completed path algebra of a quiver of type
A ̃ n with linear orientation. This classification problem arises naturally in the classification of …

APR tilting modules and graded quivers with potential

Y Mizuno - International Mathematics Research Notices, 2014 - ieeexplore.ieee.org
We study quivers with relations of endomorphism algebras of Auslander-Platzeck-Reiten
tilting modules. It is known that the quivers are given by reflections if the original algebras …

Reconstruction of path algebras from their posets of tilting modules

D Happel, L Unger - Transactions of the American Mathematical Society, 2009 - ams.org
Let $\Lambda= k\overrightarrow {\Delta} $ be the path algebra of a finite quiver without
oriented cycles. The set of isomorphism classes of multiplicity free tilting modules is in a …