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Goldie dimensions of quotient modules
2001
Journal of the Australian Mathematical Society
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For an infinite cardinal K, an associative ring R is quotient (^-dimensional if the generalized Goldie dimension of all right quotient modules of R R are strictly less than N. This latter quotient property of R/< is characterized in terms of certain essential submodules of cyclic modules being generated by less than K elements, and also in terms of weak injectivity and tightness properties of certain subdirect products of injective modules. The above is the higher cardinal analogue of the known
doi:10.1017/s1446788700002688
fatcat:7np5j2jb6babnpljudjnssxjry