Question

Ring of Gaussian integers. Let us consider the subset of C given
Til is the set of all complex numbers of the form a +ib, where a and
Du forms a ring under addition and multiplication of complex num-
This is a commutative ring with unity
This
ring is called the ring of Gaussian integers
Ring of Gaussian numbers. Let us consider the subset of C given
03 = (a + ib: a, b E Q}.
Qi' is the set of all complex numbers of the form a + ib, where a and
e rational numbers.
forms a ring under addition and multiplication of complex num-
This is a commutative ring with unity
This ring is called the ring of Gaussian numbers.
Ring of Quaternions. Let us consider the set H of 2 x 2 complex
is given by
ring
{(
C + id
-ct id a-ib
: a,b,c,d ER}​

Answer 1

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