Ideal theory in commutative semigroups
From MaRDI portal
Publication:789529
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
commutative semigroupsprincipal idealslattice of idealsmultiplicative latticesNoether latticeideal theory of semigroupsPrincipal Ideal Theoremr-semigroup
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Join-principally generated multiplicative lattices
- Theory of \(x\)-ideals
- Abstract commutative ideal theory
- A note on maximal and minimal prime ideals belonging to an ideal in semigroups
- On Dedekind monoids
- Monoids of Dedekind type
- Prüfer and Dedekind monoids
- Distributive Noether lattices
- Arithmetically embeddable local Noether lattices
- The Krull intersection theorem. II
- Multiplication semigroups
- Pruefer and Dedekind monoids. II
- Multiplication semigroups. II
- Multiplication semigroups. III
- Abstract commutative ideal theory without chain condition
- Weak join-principal element lattices
- Fake rings, fake modules, and duality
- Unique factorization and small regular local Noether lattices
- Structure theorems for regular local Noether lattices
- Distributive local Noether lattices
- Hereditary and semi-hereditary monoids
- Arithmetic and ideal theory of commutative semigroups
- The lattice theory of ova
- Teilbarkeitstheorie in Bereichen
- Noether Lattices Representable as Quotients of the Lattice of Monomially Generated Ideals of Polynomial Rings
- Multiplication Ideals, Multiplication Rings, and the Ring R(X)
- Structure and ideal theory of commutative semigroups
- Untersuchungen über Teilbarkeitseigenschaften in Körpern.
- The Cancellation Law for Ideals in a Commutative Ring
- A-Transforms and Hilbert Functions in Local Lattices
- Commutative Semigroups in which Primary Ideals are Prime
- Quasi-noetherianx-systems
- Principal Elements of Lattices of Ideals
- Relationship between Noether lattices andx-systems
- A class of commutative semigroups in which the idempotents are linearly ordered
- Structure and embedding theorems for unique normal decomposition lattices
- Rings in Which the Unique Primary Decomposition Theorem Holds
- On the ideal theory of commutative semi-groups
- Über halbgeordnete Gruppen
This page was built for publication: Ideal theory in commutative semigroups
