arXiv subjects

Zoheir Chebel

Publications and source records attributed to Zoheir Chebel.

2 recordsLinked to original sources

arXiv2024

Common Fixed Point of the Commutative F-contraction Self-mappings with uniquely bounded sequence

We establish the existence of a common fixed point for mappings that satisfy and extend the F-contraction condition. To support our findings, we present pertinent definitions and properties associated with F-contraction mappings. Additionally, we establish an analogue to the Banach contraction theorem. Our results contribute to the broader understanding of this field by extending and generalizing existing findings in the literature.

math.GM↗

arXiv2010

Kaplansky's Construction Type and Classification of Weak bialgebras and Weak Hopf algebras

In this paper, we study weak bialgebras and weak Hopf algebras. These algebras form a class wider than bialgebras respectively Hopf algebras. The main results of this paper are Kaplansky's constructions type which lead to weak bialgebras or weak Hopf algebras starting from a regular algebra or a bialgebra. Also we provide a classification of 2-dimensional and 3-dimensional weak bialgebras and weak Hopf algebras. We determine then the stabilizer group and the representative of these classes, the action being that of the linear group.

math.RA↗