Prime, weakly prime and almost prime elements in multiplication lattice modules

DOI10.1515/math-2016-0062zbMath1346.06011OpenAlexW2524786054MaRDI QIDQ318905

Fethi Callialp, Unsal Tekir, Emel Aslankarayigit Ugurlu

Publication date: 6 October 2016

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

Full work available at URL: https://doi.org/10.1515/math-2016-0062

zbMATH Keywords

prime elementmultiplication lattice moduleweakly prime element and almost prime element

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Ordered semigroups and monoids (06F05) Noether lattices (06F10)

Cites Work

• Unnamed Item
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• Pure submodules of multiplication modules
• On almost prime submodules
• Multiplication lattice modules.
• Multiplication modules and homogeneous idealization. II
• The dual notion of multiplication modules.
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• On the Dual Notion of Prime Submodules
• Weakly Prime Elements in Multiplicative Lattices
• On multiplication lattice modules
• Lattice Modules over Principal Element Domains
• Generalizations of Prime Ideals
• a-adic completions of Noetherian lattice modules
• Lattice modules over semi-local Noether lattices
• Multiplication modules