cov kev sib tshuam ntawmob subrings yog subring. Pov thawj: Cia S1 thiab S2 yog ob lub nplhaib ntawm lub nplhaib R.
Puas yog union of subrings a subring?
Qhia tias kev sib koom ua ke ntawm ob lub subrings yog subring yog tias thiab tsuas yog ib qho ntawm cov subring muaj nyob hauvlwm tus.
kev sib koom ua ke ntawm ob lub subrings yog dab tsi?
Ib lub koom haum ntawm ob lub subring yog a subring. SUBRING THEOREM PROOF IN HINDI. SUBRING IN HINDI.
Puas yog qhov suav ntawm ob subrings ib subring?
Cov txiaj ntsig tseem ceeb cuam tshuam txog cov radicals thiab polynomial cov cim ntawm rings uas yog cov lej ntawm ob subrings. Nws tau ua pov thawj tias lub nplhaib uas yog qhov sib npaug ntawm qhov sib npaug ntawm qhov sib npaug ntawm qhov ntsuas qhov ntsuas thiab lub nplhaib txaus siab rau tus lej ntawm tus kheej kuj ua rau muaj tus lej ntawm tus lej.
Dab tsi yog subring nyob rau hauv lub nplhaib txoj kev xav?
Definition. Ib subring ntawm ib lub nplhaib (R, +, ∗, 0, 1) yog a subset S ntawm R uas khaws cov qauv ntawm lub nplhaib, i.e. ib lub nplhaib (S, +, ∗, 0, 1) nrog S ⊆ R. Sib npaug, nws yog ob pawg ntawm (R, +, 0) thiab submonoid ntawm (R, ∗, 1).
