This is an abridged version of our Habilitation thesis. In these notes, we aim to summarize
our research interests and achievements as well as motivate what drives our work …

We introduce and study a new class of algebras, which we name quantum generalized
Heisenberg algebras (qGHA), including both the so-called generalized Heisenberg …

In this paper, we study the category of modules over the Smith algebra which are free of
finite rank over the unital polynomial subalgebra generated by the Cartan element h and …

Motivated by the theory of homomorphisms and cv-polynomials of Ore extensions
formulated by several mathematicians, the rol of double Ore extensions introduced by Zhang …

In this article, the two-parameter quantum Heisenberg enveloping algebra, which serves as
a model for certain quantum generalized Heisenberg algebras, has been studied at roots of …

In this article, the two-parameter quantum Heisenberg enveloping algebra, which serves as
a model for certain quantum generalized Heisenberg algebras, have been studied at roots …

In this thesis, we study several kinds of morphisms between families of semi-graded rings
with their corresponding polynomial applications. First, we present some ring-theoretical …

In this thesis, we introduce and study a new class of algebras, which we name quantum
generalized Heisenberg algebras (qGHAs, for short), including both the so-called …

This thesis is dedicated to the study of noncommutative algebras and (broadly speaking)
their applications in physics. We introduce and study a new class of algebras, which we …

• Generalized Heisenberg Algebras were introduced in the physics literatures in two different
routes (but with the same source). One has been raised under the view of the Russian …