Weakly Prime Elements in Multiplicative Lattices

DOI10.1080/00927872.2011.587212zbMath1253.06021OpenAlexW1997807897MaRDI QIDQ3164943

C. Jayaram, Unsal Tekir, Meryem Duygun Fethi, Fethi Callialp

Publication date: 18 October 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.587212

zbMATH Keywords

invertible elementregular latticealmost prime elementweakly prime elementprincipal element latticeNoether latticemultiplicative lattice\(\pi\)-lattice

Mathematics Subject Classification ID

Noether lattices (06F10)

Related Items

Prime, weakly prime and almost prime elements in multiplication lattice modules, On \(\phi\)-absorbing primary elements in lattice modules, Unnamed Item, An element weakly primary to another element., 2-Absorbing and Weakly 2-Absorbing Elements in Multiplicative Lattices

Cites Work

• Abstract commutative ideal theory without chain condition
• Dilworth's principal elements
• Some results on abstract commutative ideal theory
• Almost principal element lattices
• \(s\)-prime elements in multiplicative lattices
• Some results on almost principal element lattices
• Structural Properties of a New Class of CM-Lattices
• Strong compact elements in multiplicative lattices
• Laskerian Lattices
• UNIQUE FACTORIZATION AND BIRTH OF ALMOST PRIMES
• Primary elements in Prüfer lattices
• Almost π-Lattices