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math.RA2021
Transitivity and homogeneity of orthosets and the real Hilbert spaces
Thomas Vetterlein
An orthoset (also called an orthogonality space) is a set equipped with a symmetric and irreflexive binary relation , called the orthogonality relation. In quantum physi…
math.RA2020
Categories of orthogonality spaces
Jan Paseka, Thomas Vetterlein
An orthogonality space is a set equipped with a symmetric and irreflexive binary relation. We consider orthogonality spaces with the additional property that any collection of mutu…
math.RA2018
Rees coextensions of finite, negative tomonoids
Milan Petr\' ik, Thomas Vetterlein
A totally ordered monoid, or tomonoid for short, is a monoid endowed with a compatible total order. We deal in this paper with tomonoids that are finite and negative, where negativ…