Results 1 to 10 of about 260,514 (198)
Groupoid Fell bundles for product systems over quasi-lattice ordered groups [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2015 Consider a product system over the positive cone of a quasi-lattice ordered group. We construct a Fell bundle over an associated groupoid so that the cross-sectional algebra of the bundle is isomorphic to the Nica-Toeplitz algebra of the product system ...
Rennie, Adam +2 more
core +5 more sources
Convex $L$-lattice subgroups in $L$-ordered groups [PDF]
Categories and General Algebraic Structures with Applications, 2018 In this paper, we have focused to study convex $L$-subgroups of an $L$-ordered group. First, we introduce the concept of a convex $L$-subgroup and a convex $L$-lattice subgroup of an $L$-ordered group and give some examples.
Rajabali Borzooei +2 more
doaj +2 more sources
Amalgamations of lattice ordered groups [PDF]
Transactions of the American Mathematical Society, 1972 The author considers the problem of determining whether certain classes of lattice ordered groups (I-groups) have the amalgamation property. It is shown that the classes of abelian totally ordered groups (ogroups) and abelian i-groups have the property, but that the class of i-groups does not.
Keith R. Pierce
semanticscholar +2 more sources
*-Maximum lattice-ordered groups
Rocky Mountain Journal of Mathematics, 2013 Denote by \(W\) the category of archimedean \(l\)-groups \(G\) with a distinguished positive weak order unit \(e_G\) (that is, \(e_G^\bot\equiv\{g:|g|\wedge e_G=0\}=\{0\}\)), and morphisms \(\varphi\colon G\to H\) the \(l\)-group homomorphisms with \(\varphi(e_G)=e_H\). For \(G\in |W|\), denote by \(G^*\equiv\{g\in G:\exists n\in\mathbb N\;|g|\leq ne_G\
A. Hager
semanticscholar +3 more sources
TOPOLOGICAL LATTICE ORDERED GROUPS [PDF]
Pacific Journal of Mathematics, 1979 Several types of hulls and completions of lattice ordered groups have been obtained by algebraic methods. In this paper is laid some groundwork for the application of topological and uniform-space concepts to the same end by setting forth those links—topological, algebraic and semantic— between a topological lattice ordered group H and a topologically ...
R. Ball
semanticscholar +3 more sources
Locally solid topological lattice-ordered groups [PDF]
Archivum Mathematicum, 2014 Locally solid Riesz spaces have been widely investigated in the past several decades; but locally solid topological lattice-ordered groups seem to be largely unexplored.
L. Hong
semanticscholar +4 more sources
On The Spectrum of Countable MV-algebras [PDF]
Transactions on Fuzzy Sets and Systems, 2023 In this paper we consider MV-algebras and their prime spectrum. We show that there is an uncountable MV-algebra that has the same spectrum as the free MV-algebra over one element, that is, the MV-algebra $Free_1$ of McNaughton functions from $[0,1]
Giacomo Lenzi
doaj +1 more source
A classification of hull operators in archimedean lattice-ordered groups with unit [PDF]
Categories and General Algebraic Structures with Applications, 2020 The category, or class of algebras, in the title is denoted by $\bf W$. A hull operator (ho) in $\bf W$ is a reflection in the category consisting of $\bf W$ objects with only essential embeddings as morphisms.
Ricardo E. Carrera, Anthony W. Hager
doaj +1 more source
Existentially complete abelian lattice-ordered groups [PDF]
Transactions of the American Mathematical Society, 1980 A. Glass, Keith R. Pierce
semanticscholar +2 more sources
Lattice-ordered groups generated by an ordered group and regular systems of ideals [PDF]
Rocky Mountain Journal of Mathematics, 2017 Unbounded entailment relations, introduced by Paul Lorenzen (1951), are a slight variant of a notion which plays a fundamental role in logic (see Scott 1974) and in algebra (see Lombardi and Quitte 2015). We call systems of ideals their single-conclusion
T. Coquand, H. Lombardi, S. Neuwirth
semanticscholar +1 more source