A Commutative bezout domain in which every maximal ideal is princial is an elementary divizor ring.

Authors

  • O.V. Domsha The Lviv Regional Institute of Public Administration the National Academy of Public Administration, the President of Ukraine

Keywords:

an elementary divisor ring, a stable range of ring, zip ring, mzip ring

Abstract

We prove that a commutative Bezout domain in which every maximal ideal is principal is an elementary divisor ring and its stable range equals 2.

References

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Issue

No. 1/2 (2015)

Section

Mathematics