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On the class number of exact ideals for Z-rings in a commutative Q-algebra

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Abstract

The finiteness of the class number of exact Λ-ideals for a Z-ring Λ in a commutative algebra with unity over the rational number field is proved.

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Literature cited

  1. D. K. Faddeev, “On the class number of exact ideals for Z-rings,” Matem. Zametki,1, No. 6, 625–632 (1967).

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  2. N. Jacobson, Theory of Rings, American Mathematical Society (1943).

  3. D. K. Faddeev, “Introduction to the multiplicative theory of modules of integer representations,” Trudy. Matem. In-ta Akad. Nauk SSSR,80, 145–182 (1965).

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Authors and Affiliations

  1. Leningrad State University, USSR

    I. A. Levina

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  1. I. A. Levina
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Additional information

Translated from Matematicheskie Zametki, Vol. 11, No. 4, pp. 381–388, April, 1972.

In conclusion, I am grateful to my scientific adviser D. K. Faddeev for comments and hints in executing the present research.

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Levina, I.A. On the class number of exact ideals for Z-rings in a commutative Q-algebra. Mathematical Notes of the Academy of Sciences of the USSR 11, 236–239 (1972). https://doi.org/10.1007/BF01367495

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  • DOI: https://doi.org/10.1007/BF01367495

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