What-is-the-set-Z-8-0-I-met-this-notation-in-a-question-asking-whether-or-not-the-set-Z-8-0-forms-a-group-under-multiplication-mod-8- Tinku Tara June 3, 2023 None 0 Comments FacebookTweetPin Question Number 1171 by 112358 last updated on 09/Jul/15 WhatisthesetZ8−{0}?ImetthisnotationinaquestionaskingwhetherornotthesetZ8−{0}formsagroupundermultiplication(mod8). Answered by 123456 last updated on 10/Jul/15 ithinkthatitcouldbethepossibleremainderofanumberbyadivisonwith8thenexcluding0Z8={0,1,2,3,4,5,6,7}Z8−{0}={1,2,3,4,5,6,7}forgroup,wehavethatitsnotbecause{Z8−{0},×}isnotclosedundermultiplication(icoundbewrong)wecanseethisbysetingx=2,y=4xy≡2×4≡8≡0(mod8) Commented by 112358 last updated on 10/Jul/15 Thatiscorrect.Closureisnotobservedfor∃a,b∈Z8−{0}undermultiplication(mod8)suchthata∗b∉Z8−{0}. Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: lim-x-0-tan-2x-pi-4-2tan-x-pi-4-tan-pi-4-sin-2x-pi-4-2sin-x-pi-4-sin-pi-4-Next Next post: Question-132251 Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.