3 papers
math.HO2026
Five Circles: Real Analysis Theorems equivalent to Completeness
Rafael Cantuba
This is an exposition of the work of O. Riemenschneider about five ''circles'' of implications relating real analysis theorems each equivalent to the Dedekind completeness of the r…
math.RA2019
Ubiquitous Lie polynomials in a two-generator universal enveloping algebra
Rafael Reno S. Cantuba
The universal enveloping algebra of a two-dimensional nonabelian Lie algebra is a Lie algebra itself with the commutator as Lie bracket. There exists a presentati…
math.RA2018
An extension of a -deformed Heisenberg algebra and its Lie polynomials
Rafael Reno S. Cantuba, Mark Anthony C. Merciales
Let be a field, and fix a . The -deformed Heisenberg algebra is the unital associative algebra over with generators $A…