On the structures of quotient groups

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.

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APA

O., O (2024). On the structures of quotient groups. Afribary. Retrieved from https://tracking.afribary.com/works/on-the-structures-of-quotient-groups

MLA 8th

O., Ongati "On the structures of quotient groups" Afribary. Afribary, 04 Jun. 2024, https://tracking.afribary.com/works/on-the-structures-of-quotient-groups. Accessed 07 Nov. 2024.

MLA7

O., Ongati . "On the structures of quotient groups". Afribary, Afribary, 04 Jun. 2024. Web. 07 Nov. 2024. < https://tracking.afribary.com/works/on-the-structures-of-quotient-groups >.

Chicago

O., Ongati . "On the structures of quotient groups" Afribary (2024). Accessed November 07, 2024. https://tracking.afribary.com/works/on-the-structures-of-quotient-groups

Document Details
Ongati Naftali O., Oduor Owino M., Field: Mathematics Type: Paper 6 PAGES (2642 WORDS) (pdf)