# On the rings of formal solutions of polynomial differential equations

Banach Center Publications (1998)

- Volume: 44, Issue: 1, page 277-292
- ISSN: 0137-6934

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topZurro, Maria-Angeles. "On the rings of formal solutions of polynomial differential equations." Banach Center Publications 44.1 (1998): 277-292. <http://eudml.org/doc/208891>.

@article{Zurro1998,

abstract = {The paper establishes the basic algebraic theory for the Gevrey rings. We prove the Hensel lemma, the Artin approximation theorem and the Weierstrass-Hironaka division theorem for them. We introduce a family of norms and we look at them as a family of analytic functions defined on some semialgebraic sets. This allows us to study the analytic and algebraic properties of this rings.},

author = {Zurro, Maria-Angeles},

journal = {Banach Center Publications},

keywords = {Gevrey rings; Hensel lemma; Artin approximation theorem; Weierstrass-Hironaka division theorem; semialgebraic sets},

language = {eng},

number = {1},

pages = {277-292},

title = {On the rings of formal solutions of polynomial differential equations},

url = {http://eudml.org/doc/208891},

volume = {44},

year = {1998},

}

TY - JOUR

AU - Zurro, Maria-Angeles

TI - On the rings of formal solutions of polynomial differential equations

JO - Banach Center Publications

PY - 1998

VL - 44

IS - 1

SP - 277

EP - 292

AB - The paper establishes the basic algebraic theory for the Gevrey rings. We prove the Hensel lemma, the Artin approximation theorem and the Weierstrass-Hironaka division theorem for them. We introduce a family of norms and we look at them as a family of analytic functions defined on some semialgebraic sets. This allows us to study the analytic and algebraic properties of this rings.

LA - eng

KW - Gevrey rings; Hensel lemma; Artin approximation theorem; Weierstrass-Hironaka division theorem; semialgebraic sets

UR - http://eudml.org/doc/208891

ER -

## References

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