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PRIME IDEALS OF RINGS GRADED BY A COMMUTATIVE SEMIGROUP WHICH IS A NILPOTENT EXTENSION OF A GROUP
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  • Journal title : Honam Mathematical Journal
  • Volume 29, Issue 4,  2007, pp.667-679
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2007.29.4.667
 Title & Authors
PRIME IDEALS OF RINGS GRADED BY A COMMUTATIVE SEMIGROUP WHICH IS A NILPOTENT EXTENSION OF A GROUP
Chang, Chae-Hoon;
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 Abstract
We study the prime ideal structure of the direct sum of directed system of rings indexed by a commutative semigroup which is nilpotent extension of a group.
 Keywords
prime ideal;directed sum of directed system;ring graded by a semi group;nilpotent extension of group;prime set;
 Language
English
 Cited by
 References
1.
A. D. Bell, S. Stalder and M. L. Teply, Prime ideals and radicals in semzgroupgraded rings, Proc. Edinburgh Math. Soc. 39(1996), 1-25. crossref(new window)

2.
J. M. Howie, An introduction to semigroup theory, London Math. Soc. Monographs, Academic Press, London (1976).

3.
T. W. Hungerford, Algebra, Graduate Texts in Math, Springer-Verlag, New York-Heidelbert-Berlin 73(1980).

4.
S. Stalder, The properties of strong band graded rings, Ph.D. Thesis, University of Wisconsin-Milwaukee (1993).

5.
M. L. Teply, On semigroup algebras and semisimple semilattice sums of rings, Edinburgh Math. Soc. 24(1981), 87-90. crossref(new window)

6.
M. L. Teply, Prime ideals and radicals of semigroup rings and semigroup graded rings, TGRC-Workshop Proceeding (1994).