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arXiv · 2502.05958

Simplicial effects and weakly associative partial groups

Cihan Okay·Victor Castillo·Walker H. Stern
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Abstract

In this paper, we introduce a new category of simplicial effects that extends the categories of effect algebras and their multi-object counterpart, effect algebroids. Our approach is based on relaxing the associativity condition satisfied by effect algebras and, more generally, partial monoids. Within this framework, simplicial effects and weakly associative partial groups arise as two extreme cases in the category of weak partial monoids. Our motivation is to capture simplicial structures from the theory of simplicial distributions and measurements that behave like effects.

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BibTeXRIS

Cihan Okay, Victor Castillo, Walker H. Stern. 2025-02-09. Simplicial effects and weakly associative partial groups. https://arxiv.org/abs/2502.05958

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