5 citations · 7 across the 12 of their papers we have counts for
12 papers
Eventual Morse Minimality of Heat Flow on Lens Spaces
Carlos A. Cadavid, Dairo J. Hernández, Juan Diego Vélez
We prove that heat flow generically produces Morse-minimal functions on round lens spaces. The result gives a rigorous explanation of a phenomenon first suggested by computational…
Spectral Selection and Minimal Morse Structures on the Poincaré Dodecahedral Space
Carlos A. Cadavid, Juan D. Velez, Sergio Lenis
We study the long time behavior of the heat equation on the spherical Poincare dodecahedral space and introduce a spectral selection property P, asserting that for a dense open set…
Inverse-Limit Formulas and Stable-Range Rigidity for Cyclotomic Sums
Juan D. Velez, Carlos Cadavid
We study truncation compatible families F = (F_m)_{m>=1} over Q[z] through an inverse limit formalism, and we evaluate them at the punctured cyclotomic cosine points alpha_{k,n} =…
On Preservation Properties and a Special Algebraic Characterization of Some Stronger Forms of the Noetherian Condition
Danny A. J. Gomez-Ramirez, Juan D. Velez, Edisson Gallego
We give an elementary proof prove of the preservation of the Noetherian condition for commutative rings with unity having at least one finitely generated ideal such that th…
Generalizations of the Direct Summand Theorem over UFD-s for some Bigenerated Extensions and an Asymptotic Version of Koh's Conjecture
Danny A. J. Gomez-Ramirez, Edisson Gallego, Juan D. Velez
This article deals with two different problems in commutative algebra. In the first part, we give a proof of generalized forms of the Direct Summand Theorem (DST (or DCS)) for modu…
Containment-Division Rings and New Characterizations of Dedekind Domains
Danny A. J. Gomez-Ramirez, Juan D. Velez, Edisson Gallego
We introduce a new class of commutative rings with unity, namely, the Containment-Division Rings (CDR-s). We show that this notion has a very exceptional origin since it was essent…