TY - JOUR
T1 - On the ring of hurwitz series
AU - Keigher, William F.
N1 - Funding Information:
Acknowledgements: The author wishes to thank the organizers of the Special Year in Computational Differential Algebra and Algebraic Geometry, held at the City College of the City University of New York during 1995, for providing an environment supportive of research and collaboration. The author also thanks Wolrner Vasconcelos, David Dobbs, and David Anderson for helpful suggestions concerning aspects of commutative algebra. Finally, the author wishes to thank Rutgers University for providing sabbatical funding during the Spring 1995 semester, which helped to make this research possible.
PY - 1997
Y1 - 1997
N2 - This paper introduces the ring of Hurwitz series over a commutative ring with identity, and examines its structure and applications, especially to the study of differential algebra. In particular, we see that rings of Hurwitz series bear a resemblance to rings of formal power series, and that for rings of positive characteristic, the structure of the ring of Hurwitz series closely mirrors that of the ground ring.
AB - This paper introduces the ring of Hurwitz series over a commutative ring with identity, and examines its structure and applications, especially to the study of differential algebra. In particular, we see that rings of Hurwitz series bear a resemblance to rings of formal power series, and that for rings of positive characteristic, the structure of the ring of Hurwitz series closely mirrors that of the ground ring.
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U2 - 10.1080/00927879708825957
DO - 10.1080/00927879708825957
M3 - Article
AN - SCOPUS:21744443913
VL - 25
SP - 1845
EP - 1859
JO - Communications in Algebra
JF - Communications in Algebra
SN - 0092-7872
IS - 6
ER -