On the decomposition of prime ideals of ordered semigroups into their \(\mathcal N\)-classes

DOI10.1007/BF02573777zbMath0782.06013MaRDI QIDQ688990

Michael Tsingelis, Niovi Kehayopulu

Publication date: 13 March 1994

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135290

zbMATH Keywords

prime idealsfilterpartially ordered semigroupsemilattice-congruence

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Ordered semigroups and monoids (06F05)

Related Items (8)

Semilattice strongly regular relations on ordered \(n\)-ary semihypergroups ⋮ Study on Green's relations in ordered semihypergroups ⋮ Uni-soft structure applied to ordered semigroups ⋮ Intuitionistic fuzzy quasi-ideals of ordered semigroups ⋮ Applications of soft union sets in ordered semigroups via uni-soft quasi-ideals ⋮ Fuzzy bi-ideals in ordered semigroups ⋮ Unnamed Item ⋮ On ordered semigroups which are semilattices of left simple semigroups

Cites Work

• On prime, weakly prime ideals in ordered semigroups
• On weakly commutative poe-semigroups
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