34 citations · 55 across the 9 of their papers we have counts for
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Orthomodular posets are algebras over bounded posets with involution
Gejza Jenča
We prove that there is a monadic adjunction between the category of bounded posets with involution and the category of orthomodular posets.
Effect algebras as presheaves on finite Boolean algebras
Gejza Jenča
For an effect algebra , we examine the category of all morphisms from finite Boolean algebras into . This category can be described as a category of elements of a presheaf $R…
A note on unitizations of generalized effect algebras
Gejza Jenča
There is a forgetful functor from the category of generalized effect algebras to the category of effect algebras. We prove that this functor is a right adjoint and that the corresp…
On monoids in the category of sets and relations
Anna Jenčová, Gejza Jenča
The category is the category of sets (objects) and relations (morphisms). Equipped with the direct product of sets, is a monoidal category. Moreover,…
Blocks of homogeneous effect algebras
Gejza Jenča
Effect algebras, introduced by Foulis and Bennett in 1994, are partial algebras which generalize some well known classes of algebraic structures (for example orthomodular lattices,…
Effect algebras are the Eilenberg-Moore category for the Kalmbach monad
Gejza Jenča
The Kalmbach monad is the monad that arises from the free-forgetful adjunction between bounded posets and orthomodular posets. We prove that the category of effect algebras is isom…