Additive polynomials over perfect fields

Durhan, Salih

doi:10.4171/149-1/10

Cited by 2 publications

(2 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In order to obtain the assertion of Theorem 1.9 in the case of algebraically complete perfect fields of positive characteristic (which are exactly the tame fields of positive characteristic), one does not need the assumption that the field be extremal. Indeed, S. Durhan recently proved in [5]: ) is a tame field of positive characteristic, then the images of all additive polynomials have the optimal approximation property.…”

Section: Tame Field Of Positive Residue Characteristic Is Extremal Ifmentioning

confidence: 99%

Notes on Extremal and Tame Valued Fields

Anscombe¹,

Kuhlmann²

2016

J. symb. log.

View full text Add to dashboard Cite

Abstract. We extend the characterization of extremal valued fields given in [2] to the missing case of valued fields of mixed characteristic with perfect residue field. This leads to a complete characterization of the tame valued fields that are extremal. The key to the proof is a model theoretic result about tame valued fields in mixed characteristic. Further, we prove that in an extremal valued field of finite p-degree, the images of all additive polynomials have the optimal approximation property. This fact can be used to improve the axiom system that is suggested in [8] for the elementary theory of Laurent series fields over finite fields. Finally we give examples that demonstrate the problems we are facing when we try to characterize the extremal valued fields with imperfect residue fields. To this end, we describe several ways of constructing extremal valued fields; in particular, we show that in every ℵ 1 saturated valued field the valuation is a composition of extremal valuations of rank 1.

show abstract

Section: Tame Field Of Positive Residue Characteristic Is Extremal Ifmentioning

confidence: 99%

Notes on Extremal and Tame Valued Fields

Anscombe¹,

Kuhlmann²

2016

J. symb. log.

View full text Add to dashboard Cite

show abstract

“…After contact, the first entry stage of the toxic compound is absorption by the body. The absorption of a pesticide that reaches the lungs via respiratory route is fast and complete [16]. On the contrary, the absorption of herbicides via the dermal route is slower, partly because the skin is a natural, efficient barrier.…”

Section: Exposure Routesmentioning

confidence: 99%

Safety Measures for Handlers/Workers against Herbicide Intoxication Risk

Machado-Neto¹

2015

Herbicides, Physiology of Action, and Safety

View full text Add to dashboard Cite

With the use of herbicides, there is a certain risk of intoxication to directly exposed workers, which depends on several factors. Risk factors can be grouped in the toxicity of herbicides and exposure provided by the specific working conditions. From the assessment of the risk of intoxication, working conditions can be classified as safe or unsafe. The safety of working conditions is based on the chronic toxicity of the pesticide and the absorbable amount of dermal and respiratory exposure. Safety can be determined by calculation of the margin of safety calculation MOS . If the value of MOS ≥ , the working condition is classified as safe, but if the MOS < , the condition and work is classified as unsafe. For working conditions classified as unsafe, workers should adopt safety measures to become safe. Safety measures at work are grouped into preventive and protection. The preventive safety measures are grouped into the selection of workers/personnel psychological measures administrative legislation, standards, and procedures and hygiene, cleaning, maintenance, and safety of the environment. The protection safety measures are grouped into collectives and individual. The "razilian labor law mandates the use of preventive measures and protection, according to the pesticide manufacturers recommendations on the labels.

show abstract

Additive polynomials over perfect fields

Cited by 2 publications

References 6 publications

Notes on Extremal and Tame Valued Fields

Notes on Extremal and Tame Valued Fields

Safety Measures for Handlers/Workers against Herbicide Intoxication Risk

Contact Info

Product

Resources

About