Raphael Bennett-Tennenhaus

activity

20162026

most citedFunctorial filtrations for homotopy categories of some generalisations of gentle algebras

2 citations · 2 across the 12 of their papers we have counts for

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4 papers · 1 filter

math.RA2023

String algebras over local rings: admissibility and biseriality

Raphael Bennett-Tennenhaus

For a path algebra over a noetherian local ground ring, the notion of an admissible ideal was defined by Raggi-C{á}rdenas and Salmer{ó}n. We provide sufficient conditions for admis…

math.RA2023

Semilinear clannish algebras arising from surfaces with orbifold points

Raphael Bennett-Tennenhaus, Daniel Labardini-Fragoso

Semilinear clannish algebras have been recently introduced by the first author and Crawley-Boevey as a generalization of Crawley-Boevey's clannish algebras. In the present paper, w…

math.RA2022

Semilinear clannish algebras

Raphael Bennett-Tennenhaus, William Crawley-Boevey

We define a class of associative algebras generalizing 'clannish algebras', as introduced by the second author, but also incorporating semilinear structure, like a skew polynomial…

math.RA2017

$Σ$ -pure-injective modules for string algebras and linear relations

Raphael Bennett-Tennenhaus, William Crawley-Boevey

We prove that indecomposable $Σ$ -pure-injective modules for a string algebra are string or band modules. The key step in our proof is a splitting result for infinite-dimensional li…

String algebras over local rings: admissibility and biseriality

Semilinear clannish algebras arising from surfaces with orbifold points

Semilinear clannish algebras

Σ-pure-injective modules for string algebras and linear relations

$Σ$ -pure-injective modules for string algebras and linear relations