gl-subgroups and Isomorphism Theorems of gl-groups


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Authors

  • Parimi Radhakrishna Kishore Department of Mathematics, SRM University, Andhra Pradesh, India
  • Sileshe Gone Korma Department of Mathematics, Hawasa University, Hawasa, Ethiopia

Keywords:

group, subgroup, poset, lattice, homomorphism, isomorphism

Abstract

A generalized lattice ordered group (gl-group) is a partially ordered group (po-group) in which the underlying poset is a generalized lattice. This paper deals with the concept of gl-subgroup of a gl-group. Introduced the concept of gl-subgroup and proved that the quotient of a gl-group by its normal convex gl-subgroup is again a gl-group. Later, introduced the concept of gl-homomorphism and obtained the isomorphism theorems of gl-groups.

 

Author Biographies

Parimi Radhakrishna Kishore, Department of Mathematics, SRM University, Andhra Pradesh, India

 

 

Sileshe Gone Korma, Department of Mathematics, Hawasa University, Hawasa, Ethiopia

 

 

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Published

16-08-2023

How to Cite

Parimi Radhakrishna Kishore, & Sileshe Gone Korma. (2023). gl-subgroups and Isomorphism Theorems of gl-groups. International Journal of Mathematics And Its Applications, 11(3), 93–101. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1111

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Section

Research Article