Ideal theory in commutative semigroups

DOI10.1007/BF02573445zbMath0533.20032OpenAlexW1996268713MaRDI QIDQ789529

E. W. Johnson, Daniel D. Anderson

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/134711

zbMATH Keywords

commutative semigroupsprincipal idealslattice of idealsmultiplicative latticesNoether latticeideal theory of semigroupsPrincipal Ideal Theoremr-semigroup

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Commutative semigroups (20M14) Representation theory of lattices (06B15) Noether lattices (06F10)

Related Items (10)

Nakayama's lemma for acts over monoids. ⋮ On \(f\)-prime radical in ordered semigroups ⋮ Counting the ideals with given genus of a numerical semigroup ⋮ WEAKLY PRIME IDEALS IN COMMUTATIVE SEMIGROUPS ⋮ Unnamed Item ⋮ Irreducible ideals of finitely generated commutative monoids ⋮ Primary ideals of finitely generated commutative cancellative monoids ⋮ Dilworth's principal elements ⋮ Factorization theory of root closed monoids of small rank ⋮ The projection problem in commutative, positively ordered monoids

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