4 papers · 1 filter
Extensions realizing affine datum : central extensions
Alexander Wires
The study of extensions realizing affine datum is specialized to central extensions in varieties with a difference term which leads to generalizations of several classical theorems…
Extensions realizing affine datum : the Wells derivation
Alexander Wires
We develop the Wells derivation for extensions realizing affine datum in arbitrary varieties; in particular, we show there is an exact sequence connecting the group of compatible a…
Extensions of Multilinear Module Expansions
Alexander Wires
We consider the deconstruction/reconstruction of extensions in varieties of algebras which are modules expanded by multilinear operators. The parametrization of extensions determin…
Extension realizing affine datum: low-dimensional cohomology
Alexander Wires
For arbitrary varieties of universal algebras, we develop the theory around the first and second-cohomology groups characterizing extensions realizing affine datum. Restricted to v…