Composite Hurwitz Rings as PF-Rings and PP-Rings
Copyright policy )Composite Hurwitz Rings as PF-Rings and PP-Rings
Let R ⊆ T be an extension of commutative rings with identity and H ( R , T ) (respectively, h ( R , T ) ) the composite Hurwitz series ring (respectively, composite Hurwitz polynomial ring). In this article, we study equivalent conditions for the rings H ( R , T ) and h ( R , T ) to be PF-rings and PP-rings. We also give some examples of PP-rings and PF-rings via the rings H ( R , T ) and h ( R , T ) .
- Kyungpook National University Korea (Republic of)
PP-ring, composite Hurwitz series ring, composite hurwitz series ring, composite hurwitz polynomial ring, mccoy condition, pp-ring, torsion-free Z-module, idempotent element, annihilator, pf-ring, QA1-939, PF-ring, McCoy condition, composite Hurwitz polynomial ring, torsion-free ℤ-module, Mathematics
PP-ring, composite Hurwitz series ring, composite hurwitz series ring, composite hurwitz polynomial ring, mccoy condition, pp-ring, torsion-free Z-module, idempotent element, annihilator, pf-ring, QA1-939, PF-ring, McCoy condition, composite Hurwitz polynomial ring, torsion-free ℤ-module, Mathematics
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