Theory of \(x\)-ideals

DOI10.1007/BF02545781zbMath0108.26002MaRDI QIDQ1130670

Karl Egil Aubert

Publication date: 1962

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

commutative semigroupsx-Dedekindx-idealsx-Noetherian

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Commutative semigroups (20M14)

Related Items (25)

Semistar Dedekind domains ⋮ ARITHMETICALLY RELATED IDEAL TOPOLOGIES AND THE INFINITUDE OF PRIMES ⋮ Multiplicative lattices and frames ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Certain ideals for which \(I_ 1 \dots I_ g=I_ 1\cap \dots \cap I_ g\) ⋮ Multiplicative closed maps on the set of \(S\)-subsets of an \(S\)-set ⋮ Examples of star operations on integral domains ⋮ Quasi-noetherianx-systems ⋮ Relationship between Noether lattices andx-systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Commutative semi-primary $x$-semigroups ⋮ Unnamed Item ⋮ Boolean orthogonalities and minimal prime ideals ⋮ On theory of x-ideals ⋮ On semigroups admitting ring structure ⋮ Completions for partially ordered semigroups ⋮ Additive ideal systems ⋮ Ideal systems and lattice theory. I ⋮ Divisibility theory in commutative rings: Bezout monoids ⋮ Ideal theory in commutative semigroups ⋮ Divisors of finite character ⋮ Ideal divisibility monoids ⋮ Unnamed Item

Cites Work

• Associative differential operations
• Teilbarkeitstheorie in Bereichen
• The Similarity Between the Properties of Ideals in Commutative Rings and the Properties of Normal Subgroups of Groups
• Ideal Theory and Algebraic Differential Equations
• Non-Commutative Residuated Lattices
• A General Theory of Spectra. I
• Sur les demi-groupes réticulés satisfaisant à une condition de chaîne
• Über halbgeordnete Gruppen
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