The Intersection of two subrings of a ring R is a subring of R

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The intersection of two sub rings is a subring The intersection of two sub rings is a subring
Intersection of two subrings of R is again a subring of R || is also union is holds 😓🤔 Intersection of two subrings of R is again a subring of R || is also union is holds 😓🤔
Intersection of two subrings is also a subring of a Ring R #8 // Ring theory Intersection of two subrings is also a subring of a Ring R #8 // Ring theory
Abstract Algebra | 12. Subrings Abstract Algebra | 12. Subrings
A subset S of a ring R is said to be Sub Ring iff a,b belongs to S and (a-b €S, ab€S) A subset S of a ring R is said to be Sub Ring iff a,b belongs to S and (a-b €S, ab€S)
(Ring Theory) Statement and Proof "The intersection of two subring is again a subring" (Ring Theory) Statement and Proof "The intersection of two subring is again a subring"
"Show that the intersection of two subrings (subfields) is a subring (subfield)". "Show that the intersection of two subrings (subfields) is a subring (subfield)".
Ring Theory | Intersection of subrings is subring | Union of two subrings may not be a subring Ring Theory | Intersection of subrings is subring | Union of two subrings may not be a subring