Direct sums of semi-projective modules

• Autorzy: Derya Keskin Tütüncü , Berke Kaleboğaz , Patrick F. Smith
• Języki publikacji: EN

Abstrakty

EN

We investigate when the direct sum of semi-projective modules is semi-projective. It is proved that if R is a right Ore domain with right quotient division ring Q ≠ R and X is a free right R-module then the right R-module Q ⊕ X is semi-projective if and only if there does not exist an R-epimorphism from X to Q.

Kategorie tematyczne

• 13F10: Principal ideal rings
• 16D50: Injective modules, self-injective rings
• 16U10: Integral domains
• 16D40: Free, projective, and flat modules and ideals
• 13C11: Injective and flat modules and ideals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 127
• Numer: 1
• Strony: 67-81

Daty

wydano

2012

Twórcy

autor

Derya Keskin Tütüncü

• Department of Mathematics, Hacettepe University, 06800 Beytepe, Ankara, Turkey

autor

Berke Kaleboğaz

• Department of Mathematics, Hacettepe University, 06800 Beytepe, Ankara, Turkey

autor

Patrick F. Smith

• Department of Mathematics, Glasgow University, Glasgow G12 8QW, Scotland

Identyfikatory

DOI

10.4064/cm127-1-5