In commutative algebra, the norm of an ideal is a generalization of a norm of an element in the field extension. It is particularly important in number...

Look up norm or normativity in Wiktionary, the free dictionary. Norm, the Norm or NORM may refer to: Normativity, phenomenon of designating things as good...

Hence this ideal norm is always a positive integer. When I is a principal ideal αOK then N(I) is equal to the absolute value of the norm to Q of α, for...

result gives a bound, depending on the ring, such that every ideal class contains an ideal norm less than the bound. In general the bound is not sharp enough...

theory) Ideal norm Splitting of prime ideals in Galois extensions Ideal sheaf Some authors call the zero and unit ideals of a ring R the trivial ideals of...

A social norm is a shared standard of acceptable behavior by a group. Social norms can both be informal understandings that govern the behavior of members...

policy economics implicitly presents the relevant choice as between an ideal norm and an existing "imperfect" institutional arrangement. This nirvana approach...

fractional ideal of K containing OK. By definition, the different ideal δK is the inverse fractional ideal I−1: it is an ideal of OK. The ideal norm of δK...

element in O d , {\displaystyle {\mathcal {O}}_{\sqrt {d}},} or the ideal norm of an ideal of O d , {\displaystyle {\mathcal {O}}_{\sqrt {d}},} which is necessarily...

a principal ideal domain, or PID, is an integral domain (that is, a commutative ring without nonzero zero divisors) in which every ideal is principal...