Another Look on the 𝓓-sets Generated by A Subset of a Group

Authors

Cristopher John S. Rosero

Abstract

Let 𝐺 be a group. A subset 𝐷 of 𝐺 is called a 𝒟-set if every element 𝑥 ∈ 𝐺\𝐷, 𝑥−1 ∈ 𝐷. If 𝐴 is a nonempty subset of 𝐺, then the smallest 𝐷-set that contains 𝐴 is called the 𝒟-set generated by 𝐴 and is denoted by 〈𝐴〉. This paper re-investigates more properties of the 𝒟-sets generated by a nonempty subset 𝐴 of 𝐺 and shows proofs of some identities using the concept of 𝒟-sets.

Recommended Citation

Rosero, Cristopher John S. (2015) "Another Look on the 𝓓-sets Generated by A Subset of a Group," CNU Journal of Higher Education: Vol. 9: Iss. 1, Article 2.
DOI: https://doi.org/10.70997/2546-1796.1112
Available at: https://jhe.researchcommons.org/journal/vol9/iss1/2