Mathematical Notes

, Volume 58, Issue 4, pp 1100–1116 | Cite as

Left and right distributive rings

  • A. A. Tuganbaev


By a distributive module we mean a module with a distributive lattice of submodules. LetA be a right distributive ring that is algebraic over its center and letB be the quotient ring ofA by its prime radicalH. ThenB is a left distributive ring, andH coincides with the set of all nilpotent elements ofA.


Distributive Lattice Distributive Module Nilpotent Element Quotient Ring Distributive Ring 
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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • A. A. Tuganbaev
    • 1
  1. 1.Moscow Energy InstituteUSSR

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