Quivers and path semigroups characterized by locality conditions

S Zheng, L Guo - Journal of Algebraic Combinatorics, 2024 - Springer
Path algebras from quivers are a fundamental class of algebras with wide applications. Yet it
is challenging to describe their universal properties since their underlying path semigroups …

Quiver Heisenberg algebras: a cubic analogue of preprojective algebras

M Herschend, H Minamoto - arXiv preprint arXiv:2402.08162, 2024 - arxiv.org
In this paper we study a certain class of central extensions of preprojective algebras of
quivers under the name quiver Heisenberg algebras (QHA). There are several classes of …

Homological invariants of generalized bound path algebras

V Chust, FU Coelho - arXiv preprint arXiv:2207.09488, 2022 - arxiv.org
arXiv:2207.09488v1 [math.RT] 19 Jul 2022 Page 1 arXiv:2207.09488v1 [math.RT] 19 Jul 2022
HOMOLOGICAL INVARIANTS OF GENERALIZED BOUND PATH ALGEBRAS VIKTOR CHUST …

[PDF][PDF] A note on generalized path algebras

RMI Cobos, G Navarro, JL Peña - Rev. Roumaine Math. Pures Appl, 2008 - csm.ro
We develop the theory of generalized path algebras as defined by Coelho and Xiu [4]. In
particular, we focus on the relation between a set of algebras and its associated generalized …

Operated semigroups, Motzkin paths and rooted trees

L Guo - Journal of Algebraic Combinatorics, 2009 - Springer
Combinatorial objects such as rooted trees that carry a recursive structure have found
important applications recently in both mathematics and physics. We put such structures in …

The convolution algebra of an absolutely locally compact topos

S Henry - arXiv preprint arXiv:1701.00113, 2016 - arxiv.org
We introduce a class of toposes called" absolutely locally compact" toposes and of"
admissible" sheaf of rings over such toposes. To any such ringed topos $(\mathcal {T}, A) …

On the correspondence between path algebras and generalized path algebras

V Chust, FU Coelho - Communications in Algebra, 2022 - Taylor & Francis
The concept of generalized path algebras was introduced in Coelho and Liu (2000). It was
shown in Ibáñez Cobos et al.(2008) how to obtain the Gabriel quiver of a given generalized …

Path algebras of quivers and representations of locally finite Lie algebras

JM Hennig, SJ Sierra - International Mathematics Research …, 2017 - academic.oup.com
We explore the (noncommutative) geometry of locally simple representations of the diagonal
locally finite Lie algebras,, and. Let be one of these Lie algebras, and let be the non-zero …

Convex subquivers and the finitistic dimension

EL Green, EN Marcos - Illinois Journal of Mathematics, 2017 - projecteuclid.org
Let $\mathcal {Q} $ be a quiver and $ K $ a field. We study the interrelationship of
homological properties of algebras associated to convex subquivers of $\mathcal {Q} $ and …

[引用][C] Chain geometries over local alternative algebras

A Blunck - Journal of Geometry, 1992 - Springer
Chain geometries over local alternative algebras Page 1 Journal of Geometry 0047-2468/92/020033-1251.50+0.20/0
Vol. 44 (1992) (c) 1992 Birkh~user Verlag, Basel CHAIN GEOMETRIES OVER LOCAL …