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CONTRACTED, $\mathfrak{m}$-FULL AND RELATED CLASSES OF IDEALS IN LOCAL RINGS

Published online by Cambridge University Press:  25 February 2013

DAVID E. RUSH
DAVID E. RUSH*
Affiliation:
Department of Mathematics, University of California, Riverside, CA 92521, USA e-mail: [email protected]
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Abstract

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The class of $\mathfrak{m}$-full and four related classes of ideals in a local ring (R, $\mathfrak{m}$) are extended by replacing $\mathfrak{m}$ with other ideals and the resulting classes of ideals are compared. It is shown that contracted ideals are $\mathfrak{m}$-full in a local ring with infinite residue field.

Keywords

13H9913E0513B22
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 55 , Issue 3 , September 2013 , pp. 669 - 675
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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