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Coherence of Polynomial Rings over Semisimple Algebraic Algebras
1972
Proceedings of the American Mathematical Society
It is shown that polynomial rings in finitely or infinitely many central indeterminates, over a commutative algebraic algebra without nilpotent elements, are coherent. If the coefficient ring is algebraic over the real numbers, then the commutativity assumption, above, may be dropped.
doi:10.2307/2037887
fatcat:vdaegl74uvdzfgxgjlkvano7cu