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A commutative domain is called an integral domain.

Domain definition ring. Sometimes such a ring is said to have the zero product property equivalently a domain is a ring in which 0 is the only left zero divisor or equivalently the only right zero divisor. If a b are two ring elements with a b 0 but ab 0 then a and b are called zero divisors. This protein domain contains from 40 to 60 amino acids.

Integral domains and fields. In molecular biology a ring really interesting new gene finger domain is a protein structural domain of zinc finger type which contains a c 3 hc 4 amino acid motif which binds two zinc cations seven cysteines and one histidine arranged non consecutively. Mathematical literature contains multiple variants of the definition of domain.

An integral domain is a commutative ring with an identity 1 0. More generally if n is not prime then z n contains zero divisors. Next we define an integral domain which is a commutative ring that obeys the following axioms.

In the ring z 6 we have 2 3 0 and so 2 and 3 are zero divisors. These are two special kinds of ring definition. Membrane associated ring ch march proteins are ring e3s with a ringch domain that differs modestly from the classic ring domain now termed ring hc in the identity of the fourth and fifth coordinating residues and the length of the peptide segments between the two figure 1 red ovals 5.

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