4 papers
Representations of infinite species
Raphael Bennett-Tennenhaus, Job Daisie Rock
We consider species, consisting of a possibly infinite set of rings, and bimodules between them. Simson realised the category of representations as a functor category, which we pro…
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…
Linear relations over commutative rings
Raphael Bennett-Tennenhaus
We consider the category of linear relations over an arbitrary commutative ring, and identify it as a subcategory of the category of Kronecker representations. We observe that this…
String algebras over local rings: regular examples
Raphael Bennett-Tennenhaus
String algebras, in the usual sense, are finite-dimensional algebras over a given ground field. We recall a generalisation of the definition of a string algebra, which was introduc…