| 关于Rota-Baxter代数基本性质的探讨 |
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| 引用本文： | 周淑云.关于Rota-Baxter代数基本性质的探讨[J].青海师范大学学报(自然科学版),2013,29(2):1-5. |
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| 作者姓名： | 周淑云 |
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| 作者单位： | 青海民族大学数学与统计学院,青海西宁,810007 |
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| 基金项目： | 国家民委研究项自，青海省教育厅重点课程项目 |
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| 摘 要： | Rota-Baxter代数是由一个结合代数和一个线性算子组成.自上世纪60年代开始,吸引了许多著名数学家的注意.本世纪以来,Rota-Baxter代数得到了巨大的发展,且与数学和物理的许多领域有着广泛的联系.本文介绍了Rota-Baxter代数的概念和一些例子,并且讨论了两个Rota-Baxter算子的和以及k-模直和分解与Rota-Baxter算子之间的关系等基本性质.
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| 关 键 词： | Rota-Baxter算子 Rota-Baxter代数 k-代数 |
Some discussions of basic properties of Rota-Baxter algebras |
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| ZHOU Shu-yun.Some discussions of basic properties of Rota-Baxter algebras[J].Journal of Qinghai Normal University(Natural Science Edition),2013,29(2):1-5. |
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| Authors: | ZHOU Shu-yun |
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| Institution: | ZHOU Shu-yun (School of Mathematics Statistics, Qinghai Nationalities University, Xining 810007, China) |
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| Abstract: | A Rota--Baxter algebra is an associative algebra equipped with a linear operator. It attracted the attention of well--known mathematicians and was studied from the 1960s. From this century,Rota-- Baxter algebra has developed greatly and has broad connections with many areas in mathematics and math- ematical physics. In this paper, we introduce tile concept of Rota--Baxter algebras and its elementary ex- amples. We discuss some basic properties of Rota--Baxter algebras of the sum of two Rota--Baxter opera- tors and relations between k--moudle direct sum decomposition and Rota--Baxter operators and so on. |
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| Keywords: | Rota-- Baxter operators Rota-- Baxter algebras k-- algebras |
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