Orthomodular posets are algebras over bounded posets with involution

Gejza Jenča

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Orthomodular posets are algebras over bounded posets with involution

Gejza Jenča

Year: 2021 Journal: arXiv (Cornell University) Publisher: Cornell University

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Abstract

We prove that there is a monadic adjunction between the category of bounded\nposets with involution and the category of orthomodular posets.\n

Keywords:

Adjunction Mathematics Bounded function Involution (esoterism) Star product Partially ordered set Combinatorics Pure mathematics Discrete mathematics Algebra over a field Psychology

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Advanced Algebra and Logic

Physical Sciences → Computer Science → Computational Theory and Mathematics

Fuzzy and Soft Set Theory

Social Sciences → Decision Sciences → Management Science and Operations Research

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Orthomodular posets are algebras over bounded posets with involution

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