2 citations · 2 across the 9 of their papers we have counts for
9 papers
Internalizations of decorated bicategories via -indexings
Juan Orendain, Ruben Maldonado
We treat the problem of lifting bicategories into double categories through categories of vertical morphisms. We consider structures on decorated 2-categories allowing us to formal…
Lifting bicategories through the Grothendieck construction
Juan Orendain
We treat the problem of lifting bicategories into double categories through categories of vertical morphisms. We make use of a specific instance of the Grothendieck construction to…
Free Globularly Generated Double Categories II: The Canonical Double Projection
Juan Orendain
This is the second installment of a two part series of papers studying free globularly generated double categories. We introduce the canonical double projection construction. The c…
Cylinder topological quantum field theory: A categorical presentation of classical field theory and its symmetries
Juan Orendain
We use geometric ideas coming from certain classic algebraic constructions to associate, to every classical field theory, a symmetric monoidal double functor from the double catego…
Free globularily generated double categories
Juan Orendain
This is the first part of a two paper series studying free globularily generated double categories. In this first installment we introduce the free globularily generated double cat…
Internalizing decorated bicategories: The globularily generated condition
Juan Orendain
This is the first part of a series of papers studying the problem of existence of double categories for which horizontal bicategory and object category are given. We refer to this…
On Direct Sum Decompositions of Krull-Schmidt Artinian Modules
Juan Orendain
We study direct sum decompositions of modules satisfying the descending chain condition on direct summands. We call modules satisfying this condition Krull-Schmidt artinian. We pro…
A Note on the Existence of Indecomposable Essential Submodules of the Ring of Quotients of Ore Domains
Juan Orendain
We study the problem of existence of essential indecomposable submodules of direct sums of copies of the ring of quotients of Ore domains. We provide, for each Ore domain , with…
Combinatorial Dimensions: Indecomposability on Certain Local Finite Dimensional Trivial Extension Algebras
Juan Orendain
We study problems related to indecomposability of modules over certain local finite dimensional trivial extension algebras. We do this by purely combinatorial methods. We introduce…