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- W1837841243 abstract "Let $R$ and $S$ be rings of a semi-projective Morita context, and $alpha, beta$ be automorphisms of $R$. An additive mapping $F$: $Rto R$ is called a generalized $(alpha,beta)$-derivation on $R$ if there exists an $(alpha,beta)$-derivation $d$: $Rto R$ such that $F(xy)=F(x)alpha(y)+beta(x)d(y)$ holds for all $x,y in R$. For any $x,y in R$, set $[x, y]_{alpha, beta} = x alpha(y) - beta(y) x$ and $(x circ y)_{alpha, beta} = x alpha(y) + beta(y) x$. In the present paper, we shall show that if the ring $S$ is reduced then it is a commutative, in a compatible way with the ring $R$ . Also, we obtain some results on bialgebras via Cauchy modules." @default.
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- W1837841243 date "2011-12-25" @default.
- W1837841243 modified "2023-10-05" @default.
- W1837841243 title "Morita context and generalized (α, β)−derivations" @default.
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- W1837841243 doi "https://doi.org/10.5269/bspm.v31i1.13682" @default.
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