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2. Let R be a ring and a be a fixed element of R. Let Sa={x∈R∣ax=0}. Show that Sa is a subring of R. [10 marks/ 3. Giv
Posted: Wed Jul 13, 2022 5:05 am
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- 2 Let R Be A Ring And A Be A Fixed Element Of R Let Sa X R Ax 0 Show That Sa Is A Subring Of R 10 Marks 3 Giv 1 (19.96 KiB) Viewed 40 times
2. Let R be a ring and a be a fixed element of R. Let Sa={x∈R∣ax=0}. Show that Sa is a subring of R. [10 marks/ 3. Given that R={[a0ba]∣a,b∈R} is a ring with respect to the matrix addition and multiplication. i. Show that R is commutative ring. ii. Does R have a unity? iii. Is R an integral domain?