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Martin's Axiom and the Dual Distributivity Number

MLQ, 2000
We show that it is consistent that Martin's axiom holds, the continuum is large, and yet the dual distributivity number ℌ is κ1. This answers a question of Halbeisen.
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Dual Numbers and Topological Hjelmslev Planes

Canadian Mathematical Bulletin, 1983
AbstractIn 1929 J. Hjelmslev introduced a geometry over the dual numbers ℝ+tℝ with t2 = Q. The dual numbers form a Hjelmslev ring, that is a local ring whose (unique) maximal ideal is equal to the set of 2 sided zero divisors and whose ideals are totally ordered by inclusion.
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On the Dual Hyperbolic Numbers and the Complex Hyperbolic Numbers

Journal of Computer Science & Computational Mathematics, 2018
Şahin, Serdal   +2 more
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Dual Numbers and "Dual Vectors" in Kinematics

2018
Dominique P. Chevallier, Jean Lerbet
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