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Distributive and Semihereditary Rings


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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  1. 1.

    A. A. Tuganbaev, Semidistributive Modules and Rings, Kluwer Academic Publishers, Dordrecht-Boston-London (1998).

    Google Scholar 

  2. 2.

    R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia (1991).

    Google Scholar 

  3. 3.

    S. Jondrup, “PP-rings and finitely generated flat ideals,” Proc. Amer. Math. Soc., 28, No.2, 431–435 (1971).

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  4. 4.

    B. Stenstrom, Rings of Quotients: An Introduction to Methods of Ring Theory, Springer (1975).

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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).

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  • Positive Integer
  • Distributive Ring
  • Semihereditary Ring