@article{a09815734ad544638ed3d2c0a7533e7b,
title = "Classification of Rota-Baxter operators on semigroup algebras of order two and three",
abstract = "In this paper, we determine all the Rota-Baxter operators of weight zero on semigroup algebras of order two and three with the help of computer algebra. We determine the matrices for these Rota-Baxter operators by directly solving the defining equations of the operators. We also produce a Mathematica procedure to predict and verify these solutions.",
keywords = "Mathematica, Matrix, Rota-Baxter algebra, semigroup, semigroup algebra",
author = "Shanghua Zheng and Li Guo and Markus Rosenkranz",
note = "Funding Information: Shanghua Zheng acknowledges support from the National Science Foundation of US (grant no. DMS 1001855). Li Guo acknowledges support from the Engineering and Physical Sciences Research Council of UK (grant no. EP/ I037474/1) and the Austrian Science Fund (grant no. P30052). Markus Rosenkranz acknowledges support from the National Natural Science Foundation of China (grant no. 11601199) and the Foundation of Jiangxi Provincial Education Department (grant no. GJJ160336). Funding Information: Shanghua Zheng acknowledges support from the National Science Foundation of US (grant no. DMS 1001855). Li Guo acknowledges support from the Engineering and Physical Sciences Research Council of UK (grant no. EP/I037474/1) and the Austrian Science Fund (grant no. P30052). Markus Rosenkranz acknowledges support from the National Natural Science Foundation of China (grant no. 11601199) and the Foundation of Jiangxi Provincial Education Department (grant no. GJJ160336). Publisher Copyright: {\textcopyright} 2019, {\textcopyright} 2019 The Author(s). Published with license by Taylor and Francis Group, LLC.",
year = "2019",
month = aug,
day = "3",
doi = "10.1080/00927872.2018.1552278",
language = "English (US)",
volume = "47",
pages = "3094--3116",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "8",
}