3 papers
math.CT2025
Simplicial Approach to Frobenius Algebras in the Category of Relations
Dominik Lachman
Frobenius algebras in the category of sets and relations () serve as a unifying framework for various algebraic and combinatorial structures, including groupoids, eff…
math.CT2025
Simplicial Perspectives on (Pseudo) Effect Algebras
Dominik Lachman
The study of Frobenius algebras in the category via their nerve functor into simplicial sets has been introduced recently. In this article, we focus on the particula…
math-ph2025
Tensor Product in the Category of Effect Algebras
Dominik Lachman
We study a tensor product in the category of effect algebras and in the category of partially ordered Abelian groups with order unit. We show that the tensor product preserves all…