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math.RA2024
Indecomposable Injectives over the Jacobson Algebra
Riccardo Colpi, Francesca Mantese, Alberto Tonolo
Let K be any field. In this paper we give a complete list of the indecomposable left injective module over the Jacobson algebra K<X,Y | XY = 1>, i.e., the free associative K-algebr…
math.RA2024
Non-commutative factorizations and finite-dimensional representations of free algebras
Pham Ngoc Ánh, Francesca Mantese
A very first step to develop non-commutative algebraic geometry is the arithmetic of polynomials in non-commuting variables over a commutative field, that is, the study of elements…