We discuss certain ternary algebraic structures appearing more or less naturally in various
domains of theoretical and mathematical physics. Far from being exhaustive, this article is …

We solve the geodesic deviation equations for the orbital motions in the Schwarzschild
metric which are close to a circular orbit. It turns out that in this particular case the equations …

A ℤ 2× ℤ 2-graded generalisation of the quantum superplane is proposed and studied. We
construct a bicovariant calculus on what we shall refer to as the double-graded quantum …

We discuss ternary algebraic structures appearing in various domains of theoretical and
mathematical physics. Some of them are associative, and some are not. Their interesting …

Given an associative unital ℤN-graded algebra over the complex numbers we construct the
graded q-differential algebra by means of a graded q-commutator, where q is a primitive N …

Starting with an exact and simple geodesic, we generate approximate geodesics by
summing up higher-order geodesic deviations within a general relativistic setting, without …

Motivated by a ternary generalization of the Pauli exclusion principle proposed by R. Kerner,
we propose a notion of a Z 3-skew-symmetric covariant SO (3)-tensor of the third order …

I have published several research monographs and some collections of essays during my
active research life. Now I am “actively retired”, but I continue to do research and take part in …

A noncommutative quantum (super) space1, 2 is an unital, associative algebra with a
quantum (super) group as a symmetry group. These objects3, 4 have enriched the arena of …

We propose the notion of a Zjv-connection, where N> 2, which can be viewed as a
generalization of the notion of a Z2-connection or superconnection. We use the algebraic …