ROTA-BAXTER OPERATORS ON GENERALIZED POWER SERIES RINGS

Guo L; Liu ZK

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ROTA-BAXTER OPERATORS ON GENERALIZED POWER SERIES RINGS

机译：广义功率级环上的旋转算子运算符

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An important instance of Rota-Baxter algebras from their quantum field theory application is the ring of Laurent series with a suitable projection. We view the ring of Laurent series as a special case of generalized power series rings with exponents in an ordered monoid. We study when a generalized power series ring has a Rota-Baxter operator and how this is related to the ordered monoid.

机译：从量子场论应用出发，Rota-Baxter代数的一个重要实例是具有合适投影的Laurent级数环。我们将Laurent级数环视为广义幂级数环的一种特例，该幂级数环在有序半边形中具有指数。我们研究了广义幂级数环何时具有Rota-Baxter算符，以及它与有序的等分半群有何关系。

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《Journal of algebra and its applications》 |2009年第4期|共8页
作者
Guo L; Liu ZK;
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正文语种 eng
中图分类代数、数论、组合理论;
关键词
Rota-Baxter algebra; generalized power series ring; strictly ordered; monoid;

机译：Rota-Baxter代数;广义幂级数环;严格有序;单态;

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2. Cyclic maximal ideals of rings of differential operators over power series rings [J] . Bertoncello L.N., Levcovitz D. Communications in algebra . 2010,第5期

机译：幂级数环上微分算子环的最大循环理想
3. DIFFERENTIAL OPERATORS OF INFINITE ORDER IN THE SPACE OF FORMAL LAURENT SERIES AND IN THE RING OF POWER SERIES WITH INTEGER COEFFICIENTS [J] . S. L. Gefter Journal of Mathematical Sciences . 2019,第3期

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4. Generalized quantum key distribution (QKD) using PANDA ring resonator and series micro ring resonator for communication security use [C] . Xaythavy Louangvilay, Somsak Mitatha, Saysamone Soysouvanh, International Conference on Simulation Technology . 2015

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7. Rota-Baxter operators on generalized power series rings [O] . Guo, Li, Liu, Zhongkui 2007

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ROTA-BAXTER OPERATORS ON GENERALIZED POWER SERIES RINGS

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