Injective Rota–Baxter Operators of Weight Zero on F[x]
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DOI: 10.1007/s00009-021-01909-z
Abstract: Rota-Baxter operators present a natural generalisation of integration by parts formula for the integral operator. In 2015, Zheng, Guo, and Rosenkranz conjectured that every injective Rota-Baxter operator of weight zero on the polynomial algebra $\mathbb{R}[x]$… read more here.
Keywords: baxter operators; weight zero; rota; injective rota ... See more keywords
Classification of Rota-Baxter operators on semigroup algebras of order two and three
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DOI: 10.1080/00927872.2018.1552278
Abstract: 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… read more here.
Keywords: algebras order; baxter operators; semigroup algebras; order two ... See more keywords