44 citations · 82 across the 30 of their papers we have counts for
5 papers · 1 filter
Weakly Schreier extensions for general algebras
Graham Manuell, Nelson Martins-Ferreira
Weakly Schreier split extensions are a reasonably large, yet well-understood class of monoid extensions, which generalise some aspects of split extensions of groups. This short not…
A refinement of ternary Boolean algebras
J. P. Fatelo, N. Martins-Ferreira
An algebraic structure with two constants and one ternary operation, which is not completely commutative, is put forward to accommodate ternary Boolean algebras. When the ternary o…
Affine mobi spaces
J. P. Fatelo, N. Martins-Ferreira
The category of mobi algebras has been introduced as a model to the unit interval of real numbers. The notion of mobi space over a mobi algebra has been proposed as a model for spa…
Semi-biproducts in monoids
Nelson Martins-Ferreira
It is shown that the category of semi-biproducts in monoids is equivalent to a category of pseudo-actions. A semi-biproduct in monoids is at the same time a generalization of a sem…
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…