1 citations · 2 across the 8 of their papers we have counts for
8 papers
Reconstructing Classical Algebras via Ternary Operations
Jorge Fatelo, Nelson Martins-Ferreira
Although algebraic structures are frequently analyzed using unary and binary operations, they can also be effectively defined and unified through ternary operations. In this contex…
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…
A new look at Ternary Boolean Algebras
J. P. Fatelo, N. Martins-Ferreira
We present a new approach to ternary Boolean algebras in which negation is derived from the ternary operation. The key aspect is the replacement of complete commutativity by other…
Mobility spaces and geodesics for the n-sphere
J. P. Fatelo, N. Martins-Ferreira
We introduce an algebraic system which can be used as a model for spaces with geodesic paths between any two of their points. This new algebraic structure is based on the notion of…
Mobility spaces and their geodesic paths
J. P. Fatelo, N. Martins-Ferreira
We introduce an algebraic system which can be used as a model for spaces with geodesic paths between any two of their points. This new algebraic structure is based on the notion of…
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…
Internal monoids and groups in the category of commutative cancellative medial magmas
Jorge P. Fatelo, Nelson Martins-Ferreira
This article considers the category of commutative medial magmas with cancellation, a structure that generalizes midpoint algebras and commutative semigroups with cancellation. In…