semiprime


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semiprime

[′sem·i‚prīm]
(mathematics)
A positive integer that is the product of exactly two primes.
References in periodicals archive ?
A sufficient condition to assure the associativity is to require that the algebra A, on which the group acts partially, is semiprime, that is, all its non zero ideals are either idempotent or nondegenerate.
Our next aim to use these results to study some other properties such prime neutrosophic hyperideal, semiprime neutrosophic hyperideal, neutrosophic bi-hyperideal, neutrosophic quasi-hyperideal, radicals etc.
Martindale, III, Centralizing mappings of semiprime rings, Canad.
Moreover, several authors studied commutativity in prime and semiprime rings admitting derivations and generalized derivations which satisfy appropriate algebraic conditions on suitable subsets of the rings.
They proved that if R is a semiprime ring and d a non-zero derivation such that [[d(x), x], y] = 0 for all x in a non-zero left ideal of R and y [member of] R, then R contains a non-zero central ideal.
Ashraf [2] extended the result for ([sigma], [tau])-derivation in prime and semiprime rings.
T is called semiprime if A [subset or equal to] P, [A.
And assorted prime, semiprime and subprime freestanding locations that someone has some interest in?
2] [subset or equal to] N(M) implies N(A) [subset or equal to] N(M), then N (M) is called neutrosophic semiprime.
An l-algebra A is referred to be semiprime if N(A) = {0}.
Many authors studied generalized derivations in context of prime and semiprime rings (see (11), (18), (19)).
In this section we have given related definitions based on prime, semiprime and strongly prime *-bi-ideal in involution semigroups.