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Tribonacci and Tribonacci-Lucas Sedenions

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Yüksel Soykan

Rings and Algebras · Submitted 28 Aug 2018

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Furthermore, we present some properties of these sedenions and derive relationships between them.

how it is stated · asserted 1.00 read the record →

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arXiv ID1808.09248 (version 2)
Pith IDDBIOJASZ, Pith's permanent record of this paper and its review
CitationY\"uksel Soykan. "Tribonacci and Tribonacci-Lucas Sedenions." arXiv:1808.09248 (2018). https://pith.science/paper/DBIOJASZ
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,821 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.03 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.19 · compares with prior results 0.04 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

The sedenions form a 16-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of these sedenions and derive relationships between them.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The sedenions form a 16-dimensional Cayley-Dickson algebra. background 1.00 0.04 0.03 asserted 1.00
s1 In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. contribution 1.00 0.93 0.15 asserted 0.99
s2 Furthermore, we present some properties of these sedenions and derive relationships between them. contribution 0.96 0.96 0.26 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.94 · evidence from proof or derivation 1.00.

What was examined, and what was not

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not examined
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  • figures and tables
  • references and citing sentences
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

The sedenions form a 16-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of these sedenions and derive relationships between them.

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