Axiomatic definition of a quotient ring

  • V. P. Elizarov


The quotient ring QΦ(R) of the ring R with respect to a strong filter Φ of right ideals of R is axiomatically defined as a maximal strong Φ-essential extension of R. The ring QΦ(R) is constructively obtained in the form of lim Homr (I, R), where I ∈ Φ.


Quotient Ring Axiomatic Definition Strong Filter 
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Literature cited

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Copyright information

© Consultants Bureau 1974

Authors and Affiliations

  • V. P. Elizarov

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