Results 161 to 170 of about 1,159 (179)
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A note on prime ideals in a formal power series ring
The science reports of the Kanazawa University＝金沢大学理科報告, 1986Let V be a valuation domain and P a prime ideal of V. This paper investigates the question of when PV[[X]] is a prime ideal of V[[X]]. If P is principal or not countably generated, then \(PV[[X]]=P[[X]]\) and hence is prime. So we may suppose that P is countably generated (which is the case if V has only countably many primes).
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Metrical properties of beta-transformations on power series rings
Dynamical systemsLet $ \mathbf{A}_{\infty } $ A∞ be an integer ring of a formal Laurent series field in one variable $ \frac {1}{t} $ 1t over a finite field of order q, with a maximal ideal $ \mathbf{M}_{\infty } $ M∞. Then, we introduce beta-transformations $ U_{\beta }
Sangtae Jeong
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ON THE FIBRE RINGS OF A FORMAL POWER SERIES EXTENSION
The Quarterly Journal of Mathematics, 1977openaire +1 more source
DISTRIBUTIVE MODULES OVER THE RINGS OF FORMAL POWER SERIES AND POLYNOMIALS
Journal of Commutative AlgebraE. Enochs, M. R. Pournaki, S. Yassemi
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Idempotents of 2 × 2 matrix rings over rings of formal power series
Linear and Multilinear Algebra, 2022Vesselin Drensky
exaly
On the class group and S-class group of formal power series rings
, 2017H. Ahmed, Hizem Sana
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Composition rings from formal power series rings
Communications in Algebra, 2018Fiorenza Morini
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