Abstract Algebra: Theory and Applications · Problem 16.7.3

Rings — Thomas Judson

Mathematics — Abstract Algebra · rings

Problem

List or characterize all of the units in each of the following rings. (a) Z10\mathbb{Z}_{10} (b) Z12\mathbb{Z}_{12} (c) Z7\mathbb{Z}_7 (d) M2(Z)M_2(\mathbb{Z}), the 2×22 \times 2 matrices with entries in Z\mathbb{Z} (e) M2(Z2)M_2(\mathbb{Z}_2), the 2×22 \times 2 matrices with entries in Z2\mathbb{Z}_2

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