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math.CT2018
Cancellative conjugation semigroups and monoids
A. P. Garrão, N. Martins-Ferreira, M. Raposo +1
We show that the category of cancellative conjugation semigroups is weakly Mal'tsev and give a characterization of all admissible diagrams there. In the category of cancellative co…
math.CT2018
The Category of Crossed Modules of Crossed Modules and Its Associated Double Groupoids
Nelson Martins-Ferreira, Ahmet Emin Tatar
In this work we study the notion of Whitehead sequence in the category of crossed modules and actions of crossed modules. As expected, Whitehead sequences in that context are the s…
math.RA2018
Mobi algebra as an abstraction to the unit interval and its comparison to rings
J. P. Fatelo, N. Martins-Ferreira
We begin by introducing an algebraic structure with three constants and one ternary operation to which we call mobi algebra. This structure has been designed to capture the most re…