prove that R×R is regular ring?
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Answered by
34
Answer:
Working of a computer involves the following steps:
a. input, processing, storage, output
b. input and output
c. storage and input
d. input and processing
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Answered by
1
Answer:
A ring R is regular if and only if for every x ∈ R, there exists a w ∈ Q(R) such that x = xwx. Proof. ... Then there exists y ∈ R such that x = xyx and y = yxy. From yx + (1 − yx) = 1, we have a z ∈ R such that y + (1 − yx)z = w ∈ Q(R) by Theorem 2.
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