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Rings
A set
RR
with two binary operations
+,:R×RR+,\cdot:R\times R\to R
is a ring if the following holds:
    R,+R,+
    is a commutative group with identity
    00
    R,R,\cdot
    is a monoid (group without the inverse axiom) with identity
    11
    .
    Distributivity:
    a(b+c)=ab+ac,(a+b)c=ac+bca(b+c)=ab+ac,(a+b)c=ac+bc
// ideals, diff types of domains
Last modified 5mo ago
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