0-DIALGEBRAS WITH BAR-UNITY AND NONASSOCIATIVE ROTA–BAXTER ALGEBRAS

A. P. Pozhidaev

首页> 外文期刊>Siberian Mathematical Journal >0-DIALGEBRAS WITH BAR-UNITY AND NONASSOCIATIVE ROTA–BAXTER ALGEBRAS

【24h】

0-DIALGEBRAS WITH BAR-UNITY AND NONASSOCIATIVE ROTA–BAXTER ALGEBRAS

机译：具有直角且具有正负旋转代数的0-斜角代数

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We describe all homogeneous structures of Rota–Baxter algebras on a 0-dialgebra with associative bar-unity and give a corollary on the structure of a Rota–Baxter algebra on an arbitrary associative dialgebra with bar-unity as well as a unital associative conformal algebra. We prove that an arbitrary alternative dialgebra may be embedded into an alternative dialgebra with associative barunity. We suggest the definition of variety of dialgebras in the sense of Eilenberg which is equivalent to that introduced earlier by Kolesnikov.

机译：我们描述了0-代数上具有联系bar-unity的Rota-Baxter代数的所有同构，并推论了具有bar-unity的任意联想对数代数上的Rota-Baxter代数的结构以及单位联合保形代数。我们证明了任意替代的代数可以嵌入到具有关联重整性的替代性代数中。我们建议用艾伦贝格（Eilenberg）的含义来定义各种变数，这与科莱斯尼科夫（Kolesnikov）早先引入的定义相同。

著录项

来源
《Siberian Mathematical Journal》 |2009年第6期|共11页
作者
A. P. Pozhidaev;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
dialgebra; bar-unity; adjoining a bar-unity; Rota–Baxter algebra; enveloping algebra; conformal algebra; alternative dialgebra; variety of dialgebras; unital variety;

机译：代数;bar-unity;邻接bar-unity;Rota-Baxter代数;包络代数;保形代数;替代性代数;各种代数;单位变体;

相似文献

外文文献
中文文献
专利

1. 0-DIALGEBRAS WITH BAR-UNITY AND NONASSOCIATIVE ROTA–BAXTER ALGEBRAS [J] . A. P. Pozhidaev Siberian Mathematical Journal . 2009,第6期

机译：具有直角且具有正负旋转代数的0-斜角代数
2. Rota-Baxter operators and non-skew-symmetric solutions of the classical Yang-Baxter equation on quadratic Lie algebras [J] . Goncharov M. E Sibirskie elektronnye matematicheskie izvestiia: Siberian Electronic Mathematical Reports . 2019,第18期

机译：二次李代数上经典Yang-Baxter方程的Rota-Baxter算子和非偏对称解
3. Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras [J] . Dan Chen, Xiao-Song Peng, Chia Zargeh, Advances in Mathematical Physics . 2020,第9期

机译：Rota-Baxter代数，Dendriform代数和预谎言代数匹配的母套
4. On a Class of Rota-Baxter Operators with Geometric Origin [C] . Cristian Anghel Jubilee International Conference of the Balkan Physical Union . 2019

机译：在一类具有几何原点的rota-baxter运算符
5. KAC-MOODY ALGEBRAS WITH NONSYMMETRIZABLE CARTAN MATRICES (NONASSOCIATIVE ALGEBRA, LIE THEORY, SYMMETRIZATION). [D] . SINGER, PHYLLIS E. 1985

机译：具有不可对称的Cartan矩阵的KAC-Moody代数（鼻代数，李理论，对称）。
6. Rota–Baxter operators and post-Lie algebra structures on semisimple Lie algebras [O] . Dietrich Burde, Vsevolod Gubarev -1

机译：半简单李代数上的Rota–Baxter算子和后李代数结构
7. Braided Rota–Baxter algebras, quantum quasi-shuffle algebras and braided dendriform algebras [O] . Yunnan Li, Li Guo 2021

机译：编织rota-baxter代数，量子Quasi-Shuffle代数和编织树突代数

0-DIALGEBRAS WITH BAR-UNITY AND NONASSOCIATIVE ROTA–BAXTER ALGEBRAS

摘要

著录项

相似文献

相关主题

期刊订阅