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On the minimum number of non-monochromatic simplices for Sperner labelings of a regular triangulation. [PDF]

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Calvo Pascual LÁ, Merchán Rubira S, Raboso Paniagua D, Rodrigo Hitos J, Rodríguez García JS.   +4 more
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Lattice-ordered effect algebras and L-algebras

Fuzzy Sets and Systems, 2019
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Yali Wu, Jing Wang, Yichuan Yang
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The order continuity in ordered algebras

Positivity, 2016
Let \(A\) be an ordered algebra with a unit \(e\), \(A_e\) the ordered ideal generated by \(e\), and \(A^+\) the cone of \(A\). The class of order continuous elements in \(A\) is introduced and studied. It is shown that \(A_e\) can be embedded into a dense subalgebra of the real algebra \(C(M)\) of continuous functions on some compact space \(M\).
E. A. Alekhno
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Sup-algebra completions and injective hulls of ordered algebras

Algebra Universalis, 2018
Changchun Xia
exaly   +2 more sources

Varieties of ordered algebras as categories

Algebra Universalis, 2021
A variety is a category of ordered (finitary) algebras presented by inequations between terms. We characterize categories enriched over the category of posets which are equivalent to a variety.
J. Adámek, J. Rosický
semanticscholar   +1 more source

Nets of graded $C^*$-algebras over partially ordered sets

St. Petersburg Mathematical Journal, 2019
The paper deals with $C^*$-algebras generated by a net of Hilbert spaces over a partially ordered set. The family of those algebras constitutes a net of $C^*$-algebras over the same set.
S. Grigoryan, E. Lipacheva, A. Sitdikov
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Orderings and *-Orderings on Cocommutative Hopf Algebras

Algebras and Representation Theory, 2006
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Cimprič, Jakob, Kochetov, Mikhail, Marshall, Murray   +2 more
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Ordered *-Algebras with an Order Unit

Communications in Algebra, 2015
We develop a theory of ordered *-algebras with an order unit. These are complex algebras equipped with a conjugate-linear vector space involution whose hermitian elements form an ordered real algebra with an order unit but not necessarily with a multiplicative identity.
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Spectral Order on a Synaptic Algebra

Order, 2018
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David J. Foulis, Sylvia Pulmannová
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