Some abstract maximal ideal-like spaces
DOI10.1007/BF01243875zbMath0685.06003MaRDI QIDQ1825889
Ioana Voiculescu, George Georgescu
Publication date: 1989
Published in: Algebra Universalis (Search for Journal in Brave)
distributive latticesmaximal ideal spacecommutative ringssheaf representationsradical elementsframe of open setsintegral complete lattice-ordered groupoidsmultiplicative ideal structuresspatial frame of idealsvirginal elements
Structure and representation theory of distributive lattices (06D05) Lattice ideals, congruence relations (06B10) Subalgebras, congruence relations (08A30) Ideals and multiplicative ideal theory in commutative rings (13A15) Ordered semigroups and monoids (06F05) Continuous lattices and posets, applications (06B35)
Related Items (10)
Cites Work
- Isomorphic sheaf representations of normal lattices
- Reticulated rings
- A generalisation of Gel'fand duality
- On a representation of a strongly harmonic ring by sheaves
- A Sheaf Representation for Modules with Applications to Gelfand Rings
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- Lattice Aspects of Radical Ideals and Choice Principles
- Global subdirect products
- Representation of Universal Algebras by Sheaves
- A unified theory of minimal prime ideals
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