
AbstractIn this paper, we introduce the concepts off-prime ideals,f-semiprime ideals andf-prime radicals in ordered semigroups. Furthermore, some results onf-prime radicals andf-primary decomposition of an ideal in an ordered semigroup are obtained.
f-semiprime ideal, Ideal theory for semigroups, 20m10, \(f\)-primary decomposition, ordered semigroup, f-prime ideal, \(f\)-prime radical, 06f05, f-primary decomposition, \(f\)-prime ideal, \(f\)-semiprime ideal, f-prime radical, QA1-939, Ordered semigroups and monoids, General structure theory for semigroups, Mathematics
f-semiprime ideal, Ideal theory for semigroups, 20m10, \(f\)-primary decomposition, ordered semigroup, f-prime ideal, \(f\)-prime radical, 06f05, f-primary decomposition, \(f\)-prime ideal, \(f\)-semiprime ideal, f-prime radical, QA1-939, Ordered semigroups and monoids, General structure theory for semigroups, Mathematics
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