Caleb M. answered • 02/01/17

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kshghoun d.

asked • 09/29/16Suppose that R is a ring of characteristic n. If addition and multiplication are defined in R x Zn = {(x, a)lx E R; a E Zn} by

(x, a) + (y, b) = (x + y, a +n b),

(x, a) + (y, b) = (x + y, a +n b),

(x, a)(y, b) = (xy + ay + bx, a·nb),

prove that R x Zn is an extension ring of R of characteristic n. Also show that R x Zn has an identity element.

prove that R x Zn is an extension ring of R of characteristic n. Also show that R x Zn has an identity element.

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Caleb M. answered • 02/01/17

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