The inversion formulae for automorphisms of polynomial algebras and rings of differential operators in prime characteristic
Author:
Publisher
Elsevier BV
Subject
Algebra and Number Theory
Reference13 articles.
1. A differential criterion and formulas for the inversion of a polynomial map in several variables;Adjamagbo;J. Pure Appl. Algebra,1990
2. The Jacobian conjecture: reduction of degree and formal expansion of the inverse;Bass;Bull. Amer. Math. Soc. (New Ser.),1982
3. The inversion formula for automorphisms of the Weyl algebras and polynomial algebras;Bavula;J. Pure Appl. Algebra,2007
4. V.V. Bavula, The Jacobian Conjecture2n implies the Dixmier Problemn. ArXiv:math.RA/0512250
5. V.V. Bavula, Simple derivations of differentiably simple Noetherian commutative rings in prime characteristic, Trans. Amer. Math. Soc., in press (doi:S0002-9947(08)04567-4), published on line on 20 March 2008, ArXiv:math.RA/0602632
Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. A chain rule formula for higher derivations and inverses of polynomial maps;Communications in Algebra;2019-03-13
2. On planar algebraic curves and holonomic -modules in positive characteristic;Journal of Algebra and Its Applications;2016-07-24
3. The Jacobian Conjecture, Together with Specht and Burnside-Type Problems;Springer Proceedings in Mathematics & Statistics;2014
4. Coordinates ofR[x,y]: Constructions and Classifications;Communications in Algebra;2013-12-02
5. An analogue of the Conjecture of Dixmier is true for the algebra of polynomial integro-differential operators;Journal of Algebra;2012-12
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3