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Distributive Factor Lattices in Free Rings
1989
Proceedings of the American Mathematical Society
Preserved Fulltext
For any field E with subfield k the free £-ring over A: on a set X, R = Ek (X) isa fir. It is proved here that when E/k is purely inseparable, then the submodule lattice R/cR is distributive, for any c =£ 0 ( R has distributive factor lattice); by contrast this is false when E/k is a nontrivial Galois extension and X ^ 0 .
doi:10.2307/2046730
fatcat:mpyu4rzlszdtndoonikiwypal4