Igusa-Todorov ϕ Function for Truncated Path Algebras

Autor:	Marcos Barrios, Gustavo Rama, Gustavo Mata
Rok vydání:	2019
Předmět:	Path (topology) Combinatorics General Mathematics 010102 general mathematics 0211 other engineering and technologies 021107 urban & regional planning 02 engineering and technology Function (mathematics) 0101 mathematics 01 natural sciences Path algebra DIMA Mathematics
Zdroj:	Algebras and Representation Theory. 23:1051-1063
ISSN:	1572-9079 1386-923X
Popis:	Given a truncated path algebra $A=\frac {\Bbbk Q}{J^{k}}$ we prove that ϕ dimA = ϕ dimAop. We also compute the ϕ-dimension of A as a function of the ϕ-dimension of $\frac {\Bbbk Q}{J^{2}}$ when Q has no sources nor sinks. This allows us to bound the ϕ-dimension for truncated path algebras. Finally, we characterize A when its ϕ-dimension is equal to 1.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::602d78d9f90ff1d224caaf2198bbaa62 https://doi.org/10.1007/s10468-019-09883-7 Zobrazit plný text záznamu Full text from SpringerLink