JP Journal of Algebra, Number Theory and Applications
Volume 1, Issue 1, Pages 1 - 9
(April 2001)
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PRIME
RADICAL THEOREMS ON ORDERED SEMIGROUPS
Mingfen Wu (P. R. China) and Xiang-Yun Xie (P. R. China)
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Abstract: The
aim of this paper is to characterize the
weakly prime ideals by m‑system
and give the prime radical theorems of ordered
semigroups, which is analogous to that of
rings and semigroups. As an application of the
results of this paper, we generalize the Hoo
and Shum’s prime radical theorem, and the
corresponding results in semigroups-without
order can be also obtained. |
Keywords and phrases: ordered
semigroup, prime radical theorem, m-system. |
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