Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 5: 901 - 910

DOI: https://doi.org/10.1007/s11464-011-0156-3

RESEARCH ARTICLE

Remarks on α-strongly irreducible ideals

  • M. J. NIKMEHR ,
  • F. FATAHI
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  • Department of Mathematics, Faculty of Science, K. N. Toosi University of Technology, P. O. Box 16315-1618, Tehran, Iran

Received date: 16 Sep 2010

Accepted date: 15 Aug 2011

Published date: 01 Oct 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

In this article, we study α-irreducible and α-strongly irreducible ideals of a commutative ring. The relations between α-strongly irreducible ideals of a ring and α-strongly irreducible ideals of localization of the ring are also studied.

Key words： α-irreducible; α-strongly irreducible; primary ideal; faithful module; multiplication module

Cite this article

M. J. NIKMEHR , F. FATAHI . Remarks on α-strongly irreducible ideals[J]. Frontiers of Mathematics in China, 2011 , 6(5) : 901 -910 . DOI: 10.1007/s11464-011-0156-3

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