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T-Ideals and C-Ideals

1979
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Proceedings of the Edinburgh Mathematical Society
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1. Given a ring R we consider the category R of R -rings (rings A with given ring-homomorphisms R -* A), and .R-homomorphisms (ring-homomorphisms that form commutative triangles with the given maps from R). All rings are associative and have 1, all homomorphisms send 1 to 1. Wedefineac-i?-ringasanobjectA ini? with a family of maps {p x Ghom/j(A, A)\x G A}. Equivalently, a c-i?-ring is an R-ring A with a binary operation a for all a, a', bE.A, rE.R. Here f denotes the image of r under R-*A and

doi:10.1017/s0013091500016199
fatcat:3vb7rbf565firiaix7kiu7udte