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## Blocks of homogeneous effect algebras

- Gejza Jenvca
- MathematicsBulletin of the Australian Mathematical Society
- 1 August 2001

Effect algebras, introduced by Foulis and Bennett in 1994, are partial algebras which generalise some well known classes of algebraic structures (for example orthomodular lattices, MV algebras,… Expand

## Coexistence in interval effect algebras

- Gejza Jenvca
- Mathematics
- 15 October 2009

Motivated by the notion of coexistence of effect-valued observables, we give a characterization of coexistent subsets of interval effect algebras.

## Effect algebras are the Eilenberg-Moore category for the Kalmbach monad

- Gejza Jenvca
- Mathematics
- 24 April 2014

The proof of the theorem is constructive, K(L) is known under the name Kalmbach extension or Kalmbach embedding. In [10], Mayet and Navara proved that Theorem 1 can be generalized: every bounded… Expand

## Pseudo effect algebras are algebras over bounded posets

- Gejza Jenvca
- MathematicsFuzzy Sets and Systems
- 13 March 2019

## A note on unitizations of generalized effect algebras

- Gejza Jenvca
- Mathematics
- 25 March 2017

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 corresponding left adjoint… Expand

## On monoids in the category of sets and relations

- Anna Jenvcov'a, Gejza Jenvca
- Mathematics
- 10 March 2017

The category Rel is the category of sets (objects) and relations (morphisms). Equipped with the direct product of sets, Rel is a monoidal category. Moreover, Rel is a locally posetal 2-category,… Expand

## Orthogonality spaces associated with posets

- Gejza Jenvca
- Mathematics
- 16 June 2022

An orthogonality space is a set equipped with a symmetric, irreﬂexive relation called orthogonality. Every orthogonality space has an associated complete ortholattice, called the logic of the… Expand

## Two monads on the category of graphs

- Gejza Jenvca
- MathematicsMathematica Slovaca
- 31 May 2017

We introduce two monads on the category of graphs and prove that their Eilenberg-Moore categories are isomorphic to the category of perfect matchings and the category of partial Steiner triple… Expand

## Derived voltage graphs come from an adjunction

- Gejza Jenvca
- Mathematics
- 27 August 2020

We prove that the notion of a derived voltage graph comes from an adjunction between the category of voltage graphs and the category of group labeled graphs.

## Orthomodular posets are algebras over bounded posets with involution

- Gejza Jenvca
- Mathematics
- 31 August 2021

We prove that there is a monadic adjunction between the category of bounded posets with involution and the category of orthomodular posets. Mathematics Subject Classification (2010) Primary: 03G12,… Expand

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