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A Topology for a Lattice-Ordered Group [PDF]

open access: yesTransactions of the American Mathematical Society, 1974
Let G be an arbitrary lattice-ordered group. We define a topology on G , called the J
R. H. Redfield
openaire   +3 more sources

Topological lattice-ordered groups [PDF]

open access: yesPacific 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 ...
Richard Neal Ball
openaire   +4 more sources

Proof theory for lattice-ordered groups [PDF]

open access: yesAnnals of Pure and Applied Logic, 2016
The authors develop a proof theory for lattice orderes groups (\(\ell\)-groups), as the title of the paper says. They establish the following three main results. Theorem 5.4. The variety of \(\ell\)-groups is generated by Aut(\(\mathbb{R}\)), where Aut(\(\mathbb{R}\)) is the set of all order-preserving bijections on the real number chain \(\mathbb{R}\).
Nikolaos Galatos, George Metcalfe
openaire   +3 more sources

The word problem for lattice-ordered groups [PDF]

open access: yesTransactions of the American Mathematical Society, 1983
Theorem. There is a finitely generated one relator lattice-ordered group with insoluble (group) word problem .
Glass, A. M. W., Gurevich, Yuri
openaire   +4 more sources

Archimedean Closed Lattice-Ordered Groups [PDF]

open access: yesRocky Mountain Journal of Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Yuanqian   +2 more
core   +7 more sources

On the Affine Completeness of Lattice Ordered Groups [PDF]

open access: yesCzechoslovak Mathematical Journal, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jakubík, Ján   +3 more
openaire   +4 more sources

Proof theory for lattice-ordered groups [PDF]

open access: yesEPiC Series in Computing, 2018
Proof theory can provide useful tools for tackling problems in algebra. In particular, Gentzen systems admitting cut-eliminationhave been used to establish decidability, complexity, amalgamation, admissibility, and generation results for varieties of residuated lattices corresponding to substructural logics.
George Metcalfe
openaire   +3 more sources

A Linguistic-Valued Weighted Aggregation Operator to Multiple Attribute Group Decision Making with Quantative and Qualitative Information [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2008
In selecting an optional alternative in an environment of multiple attribute group decision making, different attributes of the alternative are often considered as with quantitative and qualitative information.
Xiaobing Li, Da Ruan, Jun Liu, Yang Xu
doaj   +1 more source

Towards prediction of ordered phases in rechargeable battery chemistry via group–subgroup transformation

open access: yesnpj Computational Materials, 2021
The electrochemical thermodynamic and kinetic characteristics of rechargeable batteries are critically influenced by the ordering of mobile ions in electrodes or solid electrolytes. However, because of the experimental difficulty of capturing the lighter
Yunbing Ran   +12 more
doaj   +1 more source

Sequential convergences on free lattice ordered groups [PDF]

open access: yes, 1992
summary:In this paper the partially ordered set Conv $G$ of all sequential convergences on $G$ is investigated, where $G$ is either a free lattice ordered group or a free abelian lattice ordered ...
Jakubík, Ján
core   +1 more source

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