For circuit M, find out what orders its nonzero ones have elements and find their divisors of zero, if any. M = (Z3 x Z2, +, .), where bin.oper. +, are traditional operations in (Zn, +, .) by components (a, b) + (c,d) = (a + c, b + d) a (a, b) (c,d) = (a.c, b.d).

For circuit M, find out what orders its nonzero ones have elements and find their divisors of zero, if any. M = (Z3 x Z2, +, .), where bin.oper. +, are traditional operations in (Zn, +, .) by components (a, b) + (c,d) = (a + c, b + d) a (a, b) (c,d) = (a.c, b.d).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 16E

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Question

Algebra structure

thank you

For circuit M, find out what orders its nonzero ones have
elements and find their divisors of zero, if any.
M = (Z3 x Z2, +,-), where bin.oper. +, are traditional operations
in (Zn, +,-) by components
(a, b) + (c,d) = (a + c, b + d) a (a, b) · (c,d) = (a.c, b.d).

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