ABSTRACT
In this paper, we introduce the ring of Colombeau full generalized quaternion, and we study its algebraic and topological properties. We prove that the ring of Colombeau full generalized quaternion is Gelfand, normal, duo and some related properties. Moreover, we study the essential ideals of this ring.
2010 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgments
The authors are grateful to UAMat/CCT/UFCG and CCEN/UFERSA where this work was realized. The second author thanks PNPD/CAPES for their support.
The ARGG author was partially supported by PNPD/CAPES.