Generalizations of strongly hollow ideals and a corresponding topology

DOI10.3934/math.2021751OpenAlexW3199756972MaRDI QIDQ2142871

Cem Yüksel, Seçil Çeken

Publication date: 30 May 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021751

zbMATH Keywords

M-strongly hollow idealpseudo strongly hollow submodulePSH-Zariski topologystrongly hollow submodule

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Other special types of modules and ideals in commutative rings (13C13) Theory of modules and ideals in commutative rings (13C99)

Cites Work

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• Some remarks on multiplication modules
• Alexandroff topologies and monoid actions
• Topologies induced by group actions
• Strongly irreducible submodules of modules
• Existence of topologies for commutative rings with identity
• On topological lattices and their applications to module theory
• Commutative ideal theory without finiteness conditions: Completely irreducible ideals
• STRONGLY IRREDUCIBLE IDEALS
• Weak ideal topology in the topos of right acts over a monoid
• STRONGLY IRREDUCIBLE SUBMODULES
• Second Modules Over Noncommutative Rings
• ON THE NOTION OF STRONG IRREDUCIBILITY AND ITS DUAL
• Second representable modules over commutative rings^*
• Zariski-like topologies for lattices with applications to modules over associative rings
• Zariski Topologies for Coprime and Second Submodules
• Prime Ideal Structure in Commutative Rings
• Multiplication modules
• Multiplication modules
• Ultrafilters and topologies on groups
• Strongly irreducible ideals of a commutative ring

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