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The Completion of a Lattice Ordered Group [PDF]

open access: yesJournal of the Australian Mathematical Society, 1969
A lattice ordered group(‘l-group’) is calledcompleteif each set of elements that is bounded above has a least upper bound (and dually). A completel-group is archimedean and hence abelian, and each archimedeanl-group has a completion in the sense of the following theorem.
Conrad, Paul, McAlister, Donald
openaire   +5 more sources

Kernels in Lattice-Ordered Groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1976
It is shown that a lattice-ordered group has a largest representaba convex l l -subgroup and a largest normal valued convex
Byrd, Richard D., Lloyd, Justin T.
openaire   +3 more sources

When ${\rm Min}(G)^{-1}$ has a clopen $øldpi$-base [PDF]

open access: yesMathematica Bohemica, 2021
It is our aim to contribute to the flourishing collection of knowledge centered on the space of minimal prime subgroups of a given lattice-ordered group. Specifically, we are interested in the inverse topology. In general, this space is compact and $T_1$,
Ramiro Lafuente-Rodriguez   +1 more
doaj   +1 more source

A classification of hull operators in archimedean lattice-ordered groups with unit [PDF]

open access: yesCategories 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

Some results on 𝒍-fuzzy soft groups under bounded sum and bounded difference operations [PDF]

open access: yesPandian Journal of Mathematical Sciences, 2023
Lattice ordered group has been developed by J.Vimala. After that J. Arockia Reeta and J. Vimala introduced Lattice ordered fuzzy soft groups(𝑙-FSG) and obtained real life applications.
Dr. J. Arockia Reeta
doaj  

Disentangling supercohomology symmetry-protected topological phases in three spatial dimensions

open access: yesPhysical Review Research, 2021
We build exactly solvable lattice Hamiltonians for fermionic symmetry-protected topological (SPT) phases in (3+1)D classified by group supercohomology.
Yu-An Chen   +2 more
doaj   +1 more source

Complex Intuitionistic Fuzzy Soft Lattice Ordered Group and Its Weighted Distance Measures

open access: yesMathematics, 2020
In recent years, the complex fuzzy set theory has intensified the attention of many researchers. This paper focuses on developing the algebraic structures pertaining to lattice ordered groups and lattice ordered subgroups for complex intuitionistic fuzzy
S. Rajareega, J. Vimala, D. Preethi
doaj   +1 more source

One-Dimensional Alternating Extended Hubbard Model at Quarter-Filling and Its Applications to Structural Instabilities of Organic Conductors

open access: yesCrystals, 2020
The one-dimensional extended Hubbard model with lattice dimerization and alternated site potentials is analyzed using the renormalization group method.
M. Ménard, C. Bourbonnais
doaj   +1 more source

Atomic structure of a nudivirus occlusion body protein determined from a 70-year-old crystal sample

open access: yesNature Communications, 2023
Infectious protein crystals are an essential part of the viral lifecycle for double-stranded DNA Baculoviridae and double-stranded RNA cypoviruses. These viral protein crystals, termed occlusion bodies or polyhedra, are dense protein assemblies that form
Jeremy R. Keown   +12 more
doaj   +1 more source

Facile, clean and rapid exfoliation of boron-nitride using a non-thermal plasma process

open access: yesMaterials Today Advances, 2021
Non-Thermal Plasma source was used in this work to exfoliated boron-nitride (BN) powders. The generation of hexagonal BN nanosheets (h-BNNSs) few-layered was observed by TEM.
Rodrigo F.B. de Souza   +5 more
doaj   +1 more source

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