Abstract/Overview
Let J be the Jacobson radical of a commutative completely primary finite ring R such that J k 6= (0) and J k+1 = (0). Then R/J ∼= GF(p r ), the finite field of p r elements, and the characteristic of R is p k where k ≥ 2 and p is some prime integer. In this paper, we determine the structures of the quotient groups 1 + J i/1 + J i+1 for every characteristic of R and 1 ≤ i ≤ k − 1.
O., O (2024). On the structures of quotient groups. Afribary. Retrieved from https://track.afribary.com/works/on-the-structures-of-quotient-groups
O., Ongati "On the structures of quotient groups" Afribary. Afribary, 04 Jun. 2024, https://track.afribary.com/works/on-the-structures-of-quotient-groups. Accessed 23 Nov. 2024.
O., Ongati . "On the structures of quotient groups". Afribary, Afribary, 04 Jun. 2024. Web. 23 Nov. 2024. < https://track.afribary.com/works/on-the-structures-of-quotient-groups >.
O., Ongati . "On the structures of quotient groups" Afribary (2024). Accessed November 23, 2024. https://track.afribary.com/works/on-the-structures-of-quotient-groups