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math.RA2024
Tensor products of bimodules and bimodule pairs over monoids
Louis H. Rowen
We modify the well-known tensor product of modules over a semiring, to provide a general theory encompassing the classical theory of tensor products over algebras, tropical structu…
math.RA2024
Weakly primitive axial algebras
Louis Halle Rowen, Yoav Segev
In earlier work we studied the structure of primitive axial algebras of Jordan type (PAJ's), not necessarily commutative, in terms of their primitive axes. In this paper we weaken…
math.RA2024
Residue Structures
Louis H. Rowen
We consider residue structures where is an additive subgroup of a ring , not necessarily an ideal. Special instances include Krasner's construction of qu…