Expansion and application of $H_v$-Groups in modeling the interaction of some cations

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Basic Sciences, University of Hormozgan, Bandar Abbas, Iran

2 Yazd University

Abstract

In this paper, a generalization of $H_v$-groups, called $H_v$-$\Gamma$-groups, along with Marty supergroups and groups named $H_v$-$\Gamma$, is introduced. Using a strong regular relation to each $H_v$-$\Gamma$-group, we correspond to a group and prove the existence of a co-invariant operator between $H_v$-$\Gamma$-groups and p-adic morphisms and group categories, which maps each exact sequence to an exact sequence. Finally, by using the standard cell potential, the interaction of cations such as lead, cobalt, and iron is investigated and modeled in the framework of $H_v$-groups, demonstrating that the obtained $H_v$-groups are isomorphic.

Keywords

Main Subjects


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Volume 5, Issue 4
December 2020
Pages 25-42
  • Receive Date: 25 July 2021
  • Revise Date: 07 September 2021
  • Accept Date: 12 September 2021
  • Publish Date: 19 February 2021