EntityQ240651· pop 16· linked from 37 articlesprime elementSign in to savenonzero, non-unit element p in a commutative ring R such that, whenever p divides ab for some a and b in R, then p divides a or p divides b (or both)ConnectionsmathematicsEntityInternational Standard Book NumberEntityprime numberEntityintegerEntityabstract algebraEntityfundamental theorem of arithmeticEntitycommutative ringEntityintegral domainEntitySpringer Science+Business MediaEntityGaussian integerEntityprime idealEntityEuclid's lemmaEntitypolynomial ringEntityEuclidean domainEntityMathematical ReviewsEntityunique factorization domainEntityquotient ringEntityalgebraic integerEntityirreducible polynomialEntityunitEntityCategoriesRing theory