Nobusawa, Nobuo On duality in \(\Gamma\)-rings. (English) Zbl 0542.16017 Math. J. Okayama Univ. 25, 69-73 (1983). Morita contexts and \(\Gamma\)-rings are equivalent concepts. From a Morita context, one obtains a \(\Gamma\)-ring through the triple products as defined in N. Jacobson’s book [Basic algebra. II. (1980; Zbl 0441.16001)]. On the other hand, a \(\Gamma\)-ring gives rise to a Morita context. In this paper the author derives the duality theory in \(\Gamma\)- rings directly. \(\Gamma\)-ring homomorphisms play a major role. Reviewer: S.Ligh Cited in 2 ReviewsCited in 1 Document MSC: 16D90 Module categories in associative algebras 16Y60 Semirings Keywords:Morita contexts; \(\Gamma\)-rings; triple products; \(\Gamma\)-ring homomorphisms Citations:Zbl 0441.16001 PDFBibTeX XMLCite \textit{N. Nobusawa}, Math. J. Okayama Univ. 25, 69--73 (1983; Zbl 0542.16017)