PRIME IDEALS OF RINGS GRADED BY A COMMUTATIVE SEMIGROUP WHICH IS A NILPOTENT EXTENSION OF A GROUP

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Chang, Chae-Hoon

• 투고 : 2007.11.16
• 심사 : 2007.12.06
• 발행 : 2007.12.25
• 10 1

초록

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.

키워드

prime ideal;directed sum of directed system;ring graded by a semi group;nilpotent extension of group;prime set

참고문헌

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. https://doi.org/10.1017/S0013091500022720
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. https://doi.org/10.1017/S0013091500006374
6. M. L. Teply, Prime ideals and radicals of semigroup rings and semigroup graded rings, TGRC-Workshop Proceeding (1994).