Coherence of Polynomial Rings over Semisimple Algebraic Algebras

Andrew B. Carson
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