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math.CT2022
Reflectors to quantales
Xia Zhang, Jan Paseka, Jianjun Feng +1
In this paper, we show that marked quantales have a reflection into quantales. To obtain the reflection we construct free quantales over marked quantales using appropriate lower se…
math.CT2020
Braided Hopf Crossed Modules Through Simplicial Structures
Kadir Emir, Jan Paseka
Any simplicial Hopf algebra involves different projections between the Hopf algebras for each . The word projection, here meaning a tuple $\partial \co…
math.CT2018
Categorical foundations of variety-based bornology
Jan Paseka, Sergey A. Solovyov
Following the concept of topological theory of S.~E.~Rodabaugh, this paper introduces a new approach to (lattice-valued) bornology, which is based in bornological theories, and whi…