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On R-homomorphisms of power series rings. (English) Zbl 0476.13016


MSC:

13F25 Formal power series rings
13J05 Power series rings
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References:

[1] Abhyankar, S., Two notes on formal power series, (Proc. Amer. Math. Soc., 7 (1956)), 903-905 · Zbl 0073.02601
[2] Eakin, P.; Sathaye, A., \(R\)-endomorphisms of \(R[[X]]\) are essentially continuous, Pacific J. Math., 66, 83-87 (1976) · Zbl 0362.13010
[3] Fields, D., Zero divisors and nilpotent elements in power series rings, (Proc. Amer. Math. Soc., 27 (1971)), 427-433 · Zbl 0219.13023
[4] Gilmer, R., \(R\)-automorphisms of \(R[[X]]\), Michigan Math. J., 17, 15-21 (1970) · Zbl 0179.34501
[5] Gilmer, R., On ideal-adic topologies for a commutative ring, Enseign. Math., 18, 201-204 (1972) · Zbl 0251.13015
[6] Gilmer, R.; O’Malley, M., \(R\)-endomorphisms of \(R[[X_1\),…,\(X_n]]\), J. Algebra, 48, 30-45 (1977) · Zbl 0368.13019
[7] O’Malley, M., \(R\)-automorphisms of \(R[[X]]\), Proc. London Math. Soc., 20, 3, 60-78 (1970) · Zbl 0186.35503
[8] O’Malley, M., Some remarks on the formal power series ring, Bull. Soc. Math. France, 99, 247-258 (1971) · Zbl 0202.04801
[9] O’Malley, M., On the Weierstrass preparation theorem, Rocky Mountain J. Math., 20, 265-273 (1972) · Zbl 0234.13015
[10] O’Malley, M., Isomorphic power series rings, Pacific J. Math., 41, 503-512 (1972) · Zbl 0235.13017
[11] O’Malley, M., Finite groups of \(R\)-automorphisms of \(R[[X]]\), Michigan Math. J., 20, 277-284 (1973) · Zbl 0257.13026
[12] O’Malley, M.; Wood, C., \(R\)-endomorphisms of \(R[[X]]\), J. Algebra, 15, 314-327 (1970) · Zbl 0195.32902
[13] Zariski, O.; Samuel, P., (Commutative Algebra, Vol. I (1958), Van Nostrand: Van Nostrand Princeton, N.J) · Zbl 0112.02902
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