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Non-Unit Free Triangle Orders

Order, 2006
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Balof, Barry A., Bogart, Kenneth P.
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Units in noncommutative orders

2006
Let $A$ be a finite-dimensional algebra over the rational number field $\Bbb Q$. A subring $\Gamma$ with the same unit element is called an order if $\Gamma$ is a finitely generated $\Bbb Z$-submodule such that $\Gamma$ contains a $\Bbb Q$-basis of $A$. Although the unit group $U(\Gamma)$ of $\Gamma$ is finitely generated, the determination of a finite
Dooms, Ann, Jespers, Eric
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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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Rank-ordered regulation of motor units

Muscle & Nerve, 1996
Myoelectric signals were detected from the tibialis anterior muscle of 5 subjects with a quadrifilar needle electrode while the subjects generated isometric forces that increased linearly with time (10% of maximal voluntary contraction/s) up to maximal voluntary level.
Z, Erim, C J, De Luca, K, Mineo, T, Aoki
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Smooth p-order ideals in non-unital ordered normed spaces

Advances in Operator Theory, 2021
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UNITS FOR THE TIME-ORDERED FOCK MODULE

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2001
We give an explicit formula for all continuous units for the product system associated with an arbitrary time-ordered Fock module over a two-sided Hilbert ℬ-module. Like in the case of the symmetric Fock space, the units may be considered as exponential vectors to indicator function possibly renormalized by a semigroup.
LIEBSCHER V., SKEIDE, Michael
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Unit and Proper Tube Orders

Order, 2008
This note continues the exploration of ``tube orders'', a generalization of interval orders and of trapezoidal orders introduced in [\textit{J. D. Laison}, ``Tube representations of ordered sets'', Order 21, No.~3, 207--230 (2004; Zbl 1076.06004)]. A tube of dimension \(n\) is formed by taking lines \(B_1, \dots, B_n\) in \(n\)-dimensional Euclidean ...
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Unitals in Projective Planes of Order 25

Mathematics in Computer Science, 2023
\noindent Some results of a non-exhaustive computer search for unitals in the known planes of order \(25\) are reported. In particular, the authors describe all the \(193\) distinct known projective planes of order \(25\) and found unitals in these planes by a non-exhaustive algorithmic computation.
Stoichev, Stoicho D., Gezek, Mustafa
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Adjoining an Order Unit to a Matrix Ordered Space

Positivity, 2005
A matrix ordered space \(V\) is a vector space equipped with a \(*\) and a sequence of cones \(M_n(V)^+\) in the self-adjoint part \(M_n(V)_{sa}\) of \(M_n(V)\) such that \(M_n(V)\) is an ordered vector space and the cones satisfy invariance with respect to \(v \mapsto \gamma^* v \gamma\) for rectangular scalar matrices \(\gamma\).
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