scholarly journals Calculating dimension of triangulated categories: Path algebras, their tensor powers and orbifold projective lines

2021 ◽  
Author(s):  
Alexey Elagin
Keyword(s):  
Triangulated Categories ◽  
Path Algebras ◽  
Projective Lines ◽  
Tensor Powers

scholarly journals Recollements, comma categories and morphic enhancements

2021 ◽  
pp. 1-25
Author(s):  
Xiao-Wu Chen ◽  
Jue Le
Keyword(s):  
Module Category ◽  
Triangulated Category ◽  
Triangulated Categories ◽  
Comma Category ◽  
The Right ◽  
Projective Lines ◽  
Triangle Functor

For each recollement of triangulated categories, there is an epivalence between the middle category and the comma category associated with a triangle functor from the category on the right to the category on the left. For a morphic enhancement of a triangulated category $\mathcal {T}$ , there are three explicit ideals of the enhancing category, whose corresponding factor categories are all equivalent to the module category over $\mathcal {T}$ . Examples related to inflation categories and weighted projective lines are discussed.

Eventually Polynomial Betti Sequences over Truncated Path Algebras

2019 ◽  
Vol 23 (4) ◽  
pp. 1601-1608
Author(s):  
Marju Purin ◽  
Sean Thompson
Keyword(s):  
Path Algebras

McCoy rings of path algebras and truncated algebras

2021 ◽  
pp. 1-9
Author(s):  
Zhi Cheng ◽  
Jingjing Wu ◽  
Yuye Zhou
Keyword(s):  
Path Algebras

scholarly journals On the representations of Leavitt path algebras

2011 ◽  
Vol 333 (1) ◽  
pp. 258-272 ◽  
Author(s):  
Daniel Gonçalves ◽  
Danilo Royer
Keyword(s):  
Path Algebras ◽  
Leavitt Path Algebras

scholarly journals Z-stability and infinite tensor powers of C∗-algebras

2009 ◽  
Vol 220 (2) ◽  
pp. 341-366 ◽  
Author(s):  
Marius Dadarlat ◽  
Andrew S. Toms
Keyword(s):  
C Algebras ◽  
Tensor Powers

scholarly journals FP-injective semirings, semigroup rings and Leavitt path algebras

2016 ◽  
Vol 45 (5) ◽  
pp. 1893-1906 ◽  
Author(s):  
Marianne Johnson ◽  
Tran Giang Nam
Keyword(s):  
Semigroup Rings ◽  
Path Algebras ◽  
Leavitt Path Algebras

scholarly journals MODEL STRUCTURES ON TRIANGULATED CATEGORIES

2014 ◽  
Vol 57 (2) ◽  
pp. 263-284 ◽  
Author(s):  
XIAOYAN YANG
Keyword(s):  
Proper Class ◽  
Triangulated Category ◽  
Triangulated Categories ◽  
General Study ◽  
Proper Class Of Triangles ◽  
Cotorsion Pairs ◽  
One To One ◽  
The Relationship ◽  
Model Structures

AbstractWe define model structures on a triangulated category with respect to some proper classes of triangles and give a general study of triangulated model structures. We look at the relationship between these model structures and cotorsion pairs with respect to a proper class of triangles on the triangulated category. In particular, we get Hovey's one-to-one correspondence between triangulated model structures and complete cotorsion pairs with respect to a proper class of triangles. Some applications are given.

scholarly journals A classification of ideals in Steinberg and Leavitt path algebras over arbitrary rings

2021 ◽  
Vol 588 ◽  
pp. 200-249
Author(s):  
Simon W. Rigby ◽  
Thibaud van den Hove
Keyword(s):  
Path Algebras ◽  
Leavitt Path Algebras
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