Let A be a right and left distributive ring. For a positive integer n, we obtain a criterion of projectivity of all n-generated right ideals of the ring A and a criterion of the right semi-heredity of the ring A.
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A. A. Tuganbaev, Semidistributive Modules and Rings, Kluwer Academic Publishers, Dordrecht-Boston-London (1998).
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S. Jondrup, “PP-rings and finitely generated flat ideals,” Proc. Amer. Math. Soc., 28, No.2, 431–435 (1971).
B. Stenstrom, Rings of Quotients: An Introduction to Methods of Ring Theory, Springer (1975).
Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 9, No. 1, pp. 253–258, 2003.
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Tuganbaev, A.A. Distributive and Semihereditary Rings. J Math Sci 128, 3496–3500 (2005). https://doi.org/10.1007/s10958-005-0284-y
- Positive Integer
- Distributive Ring
- Semihereditary Ring