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 …
tilting theory introduced by T. Adachi, O. Iyama and I. Reiten, a partial order on the set of …
[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 …
We study the poset of basic pre-projective tilting modules over path algebra of infinite type …
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 …
PATH ALGEBRAS Page 1 Glasgow Math. J. 59 (2017) 503–511. C Glasgow Mathematical …
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 …
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 …
the poset of basic pre-projective tilting modules over path algebra of infinite type. First we …
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 …
ALGEBRA OF DYNKIN TYPE Page 1 TSUKUBA J. MATH. Vol. 37 No. 1 (2013), 153–177 THE …
Semi-tilting modules and mutation
H Koga - Algebras and Representation Theory, 2013 - Springer
We introduce the notion of semi-tilting modules and show that the class of basic semi-tilting
modules is closed under mutation. Using this, we provide a partial answer to the Wakamatsu …
modules is closed under mutation. Using this, we provide a partial answer to the Wakamatsu …
[HTML][HTML] τ-Tilting theory and⁎-modules
J Wei - Journal of Algebra, 2014 - Elsevier
Abstract Recently, Adachi, Iyama and Reiten [1] introduced support τ-tilting modules which is
an interesting generalization of classical tilting modules and showed that they have close …
an interesting generalization of classical tilting modules and showed that they have close …
[PDF][PDF] Tilting modules of tilted algebras and related topics
H Peng - 2022 - macau.uni-kiel.de
Tilting theory has been a central research topic in representation theory for a long time. Let Λ
be a hereditary algebra, T0 be a tilting Λ-module, B:= EndΛ (T0), then B is called a tilted …
be a hereditary algebra, T0 be a tilting Λ-module, B:= EndΛ (T0), then B is called a tilted …
τ-Tilting Modules Over One-Point Extensions by a Projective Module
P Suarez - Algebras and Representation Theory, 2018 - Springer
Let A be the one point extension of an algebra B by a projective B-module. We prove that the
extension of a given support τ-tilting B-module is a support τ-tilting A-module; and …
extension of a given support τ-tilting B-module is a support τ-tilting A-module; and …