2 citations · 2 across the 12 of their papers we have counts for
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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…
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…
A geometric model for semilinear locally gentle algebras
Esther Banaian, Raphael Bennett-Tennenhaus, Karin M. Jacobsen +1
We consider certain generalizations of gentle algebras that we call semilinear locally gentle algebras. These rings are examples of semilinear clannish algebras as introduced by th…
Classification of modules for complete gentle algebras
Raphael Bennett-Tennenhaus
We classify finitely generated modules over a class of algebras introduced in the authors' Ph.D thesis, called complete gentle algebras. These rings generalise the finite-dimension…
-pure-injectives in homotopy categories for gentle algebras
Raphael Bennett-Tennenhaus
We consider the homotopy category of complexes of projective modules over any gentle algebra. We prove that indecomposable -pure-injective objects in s must be shifts of string…
Functorial filtrations for homotopy categories of some generalisations of gentle algebras
Raphael Bennett-Tennenhaus
We consider algebras defined over a complete, local and noetherian ground ring. They are gentle algebras in case the ground ring is a field. The unbounded homotopy category of comp…