Author/Authors :
Mutlu, Figen Takıl Anadolu Üniversitesi - Fen Fakültesi - Matematik Bölümü, Turkey
Title Of Article :
On Free Modules with The SA Property
Abstract :
A ring R has the right summand intersection property (SIP) if the intersection of two direct summands of R is also a direct summand. A right R‐module M has the absolute direct summand property (ads) if for every decomposition M=A ⊕ B of M and every complement C of A in M, we have M= A ⊕ C. It is shown that the direct sum of two copies of a semisimple right Ore domain has both SIP and ads properties (briefly, SA property) as a right module over itself.
NaturalLanguageKeyword :
Ads property , Summand intersection property , Ore condition
JournalTitle :
Afyon Kocatepe University Journal Of Science and Engineering
