On topological lattices and their applications to module theory

DOI10.1142/S0219498816500468zbMath1343.06005arXiv1305.4578MaRDI QIDQ2797001

Christian Lomp, Jawad Y. Abuhlail

Publication date: 30 March 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4578

zbMATH Keywords

complete latticesZariski topologytopological latticesdual Zariski topologyprime modules, first submodulesstrongly hollow submodules

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Other classes of modules and ideals in associative algebras (16D80) Topological lattices (06B30) General module theory in associative algebras (16D10) Other special types of modules and ideals in commutative rings (13C13)

Related Items (4)

Generalizations of strongly hollow ideals and a corresponding topology ⋮ PS-hollow representations of modules over commutative rings ⋮ Unnamed Item ⋮ Zariski-like topologies for lattices with applications to modules over associative rings

Cites Work

• A dual Zariski topology for modules.
• Multiplication modules.
• Strongly top modules
• The dual notion of multiplication modules.
• ON THE DUAL NOTION OF PRIME RADICALS OF SUBMODULES
• Quasi-prime Submodules and Developed Zariski Topology
• On the Dual Notion of Prime Submodules
• MODULES WITH COINDEPENDENT MAXIMAL SUBMODULES
• Prime and coprime modules
• ASSOCIATED PRIMES OVER SKEW POLYNOMIAL RINGS
• Zariski Topology of Prime Spectrum of a Module
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