Results 11 to 20 of about 49 (36)
Classifying torsion pairs of Noetherian algebras
, 2021 For a commutative Noetherian ring $R$ and a module-finite $R$-algebra $\Lambda$, we study the set $\mathsf{tors} \Lambda$ (respectively, $\mathsf{torf}\Lambda$) of torsion (respectively, torsionfree) classes of the category of finitely generated $\Lambda$
Iyama, Osamu, Kimura, Yuta
core
Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups
, 2006 This memoir constitutes the author's PhD thesis at Cornell University. It serves both as an expository work and as a description of new research. At the heart of the memoir, we introduce and study a poset $NC^{(k)}(W)$ for each finite Coxeter group $W ...
Armstrong, Drew
core +3 more sources
New approaches to a homotopical problem in representation theory [PDF]
Let K be a field. The central object of this thesis is the τ-cluster morphism category W(A) of a finite-dimensional K-algebra A. This category encodes the information of all possible τ-tilting reductions in mod(A) and encompasses many objects considered ...
Kaipel, Maximilian
core
A Partial Order Structure on the Shellings of Lexicographically Shellable Posets. [PDF]
This dissertation has two main topics. The first is the introduction and in-depth study of a new poset theoretic structure designed to help us better understand the notion of lexicographic shellability of partially ordered sets (posets).
Lacina, Stephen
core
A survey of congruences and quotients of partially ordered sets
A quotient of a poset $P$ is a partial order obtained on the equivalence classes of an equivalence relation $\theta$ on $P$; $\theta$ is then called a congruence if it satisfies certain conditions, which vary according to different theories.
Williams, Nicholas J.
core
Some properties of a new partial order on Dyck paths [PDF]
, 2020 Chapoton, Frédéric
core +2 more sources
$\tau$-cluster morphism categories of factor algebras
We take a novel lattice-theoretic approach to the $\tau$-cluster morphism category $\mathfrak{T}(A)$ of a finite-dimensional algebra $A$ and define the category via the lattice of torsion classes $\mathrm{tors } A$.
Kaipel, Maximilian
core
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On the Topology of the Cambrian Semilattices
Springer INdAM Series, 2015Myrto Kallipoliti, Henri Mühle
exaly