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On the Topological Structure of the (Non-) Finitely-generated Locus of Frobenius Algebras emerging from Stanley-Reisner Rings
Edisson Gallego, Juan D. Vélez, Sergio D. Molina-Aristizabal +2
In this paper we study initial topological properties of the (non-)finitely-generated locus of Frobenius Algebra coming from Stanley-Reisner rings defined through face ideals. More…
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…
On Positive-Characteristic Semi-Parametric Local-Uniform Reductions of Varieties over Finitely Generated -Algebras
Edisson Gallego, Danny A. J. Gomez-Ramirez, Juan D. Velez
We present a non-standard proof of the fact that the existence of a local (i.e. restricted to a point) characteristic-zero, semi-parametric lifting for a variety defined by the zer…