Answered: 5) Suppose that (R, +,.) be a ring…

5) Suppose that (R, +,.) be a ring without identity and has a subring with identity, then (a) R integral domain; (b) R division ring; (c) R has zero divisors; (d) Char R = 0.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.3: The Characteristic Of A Ring

Problem 17E: 17. Suppose is a ring with positive characteristic. Prove that if is any ideal of then is a...

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Question

5) Suppose that (R, +.) be a ring without identity and has a subring with
identity, then
(a) R integral domain;
(b) R division ring;
(c) R has zero divisors;
(d) Char R = 0.

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