ON PRIME SUBMODULES OF A FINITELY GENERATED PROJECTIVE MODULE OVER A COMMUTATIVE RING

DOI10.4134/CKMS.C180332zbMath1423.13056OpenAlexW3043579308MaRDI QIDQ5241350

R. Nekooei, Zahra Pourshafiey

Publication date: 30 October 2019

Full work available at URL: http://koreascience.or.kr/journal/view.jsp?kj=DBSHCJ&py=2019&vnc=v34n3&sp=729

zbMATH Keywords

projective moduleDedekind domainprimary decompositionprime submoduleradical formularadical of submodule

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Theory of modules and ideals in commutative rings (13C99) General commutative ring theory (13A99)

Cites Work

• On radical formula and Prüfer domains
• On Prime Submodules of a Finitely Generated Free Module Over a Commutative Ring
• Projective modules and prime submodules
• Radicals of submodules of free modules
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