Sentence:  Traditionally, a complete, discretely valued field of <WSD>characteristic</WSD> zero, the maximal ideal of whose valuation ring is generated by the prime number "p", has been called a "p"-adic field. In our terminology, the valuation ring of a "p"-adic field is a Cohen ring of <WSD>characteristic</WSD> zero whose residue field has characteristic "p", and consequently a "p"-adic field is simply the quotient field of such a Cohen ring. 
Meaning of the word marked with <WSD> tags:  For a given field or ring, a natural number that is either the smallest positive number "n" such that "n" instances of the multiplicative identity (1) summed together yield the additive identity (0) or, if no such number exists, the number 0.