Geodesic
Graded π-rings
Canadian journal of mathematics, Tome 31 (1979) no. 3, pp. 449-457

Voir la notice de l'article provenant de la source Cambridge University Press

All rings considered will be commutative with identity. By a graded ring we will mean a ring graded by the non-negative integers.A ring R is called a π-ring if every principal ideal of R is a product of prime ideals. A π-ring without divisors of zero is called a π-domain. A graded ring (domain) is called a graded π-ring (-domain) if every homogeneous principal ideal is a product of homogenous prime ideals. A ring R is called a general ZPl-ring if every ideal is a product of primes. A graded ring is called a graded general ZPl-ring if every homogenous ideal is a product of homogeneous prime ideals. 
Anderson, D. D.; Matijevic, J. Graded π-rings. Canadian journal of mathematics, Tome 31 (1979) no. 3, pp. 449-457. doi: 10.4153/CJM-1979-050-0
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