Alpay, Daniel; Cho, Ilwoo Dynamical systems of operators induced by scaled hypercomplex rings. (English) Zbl 1525.46046 Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 33, 39 p. (2023). MSC: 46L55 46S10 47S10 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{I. Cho}, Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 33, 39 p. (2023; Zbl 1525.46046) Full Text: DOI
El-Nabulsi, Rami Ahmad The Atiyah-Singer index theorem for a family of fractional Dirac operators on spin geometry. (English) Zbl 07687967 Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 27, 19 p. (2023). MSC: 58J20 53C27 26A33 49S05 58B10 PDFBibTeX XMLCite \textit{R. A. El-Nabulsi}, Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 27, 19 p. (2023; Zbl 07687967) Full Text: DOI
Wang, Minghui; Yue, Lingling; Liu, Qiaohua Elementary transformation and its applications for split quaternion matrices. (English) Zbl 1432.15020 Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 1, 10 p. (2020). MSC: 15A66 15A23 PDFBibTeX XMLCite \textit{M. Wang} et al., Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 1, 10 p. (2020; Zbl 1432.15020) Full Text: DOI
Liu, Xin; Zhang, Yang Consistency of split quaternion matrix equations \(AX^{\star }-XB=CY+D\) and \(X-AX^\star B=CY+D\). (English) Zbl 1420.15013 Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 64, 20 p. (2019). MSC: 15A24 16H05 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Zhang}, Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 64, 20 p. (2019; Zbl 1420.15013) Full Text: DOI
Yilmaz, Nazmiye; Yazlik, Yasin; Taskara, Necati On the bi-periodic Lucas octonions. (English) Zbl 1417.11014 Adv. Appl. Clifford Algebr. 27, No. 2, 1927-1937 (2017). MSC: 11B39 11R52 15A66 PDFBibTeX XMLCite \textit{N. Yilmaz} et al., Adv. Appl. Clifford Algebr. 27, No. 2, 1927--1937 (2017; Zbl 1417.11014) Full Text: DOI
Ünal, Zafer; Tokeşer, Ümit; Bilgici, Göksal Some properties of dual Fibonacci and dual Lucas octonions. (English) Zbl 1420.11038 Adv. Appl. Clifford Algebr. 27, No. 2, 1907-1916 (2017). MSC: 11B39 PDFBibTeX XMLCite \textit{Z. Ünal} et al., Adv. Appl. Clifford Algebr. 27, No. 2, 1907--1916 (2017; Zbl 1420.11038) Full Text: DOI
Tokeşer, Ümit; Ünal, Zafer; Bilgici, Göksal Split Pell and Pell-Lucas quaternions. (English) Zbl 1414.11158 Adv. Appl. Clifford Algebr. 27, No. 2, 1881-1893 (2017). MSC: 11R52 11B37 15A66 PDFBibTeX XMLCite \textit{Ü. Tokeşer} et al., Adv. Appl. Clifford Algebr. 27, No. 2, 1881--1893 (2017; Zbl 1414.11158) Full Text: DOI
Inalcik, Abdullah Similarity and semi-similarity relations on the degenerate quaternions, pseudodegenerate quaternions and doubly degenerate quaternions. (English) Zbl 1406.16019 Adv. Appl. Clifford Algebr. 27, No. 2, 1329-1341 (2017). MSC: 16P10 15B33 PDFBibTeX XMLCite \textit{A. Inalcik}, Adv. Appl. Clifford Algebr. 27, No. 2, 1329--1341 (2017; Zbl 1406.16019) Full Text: DOI
Flaut, Cristina Codes over subsets of algebras obtained by the Cayley-Dickson process. (English) Zbl 1402.94101 Adv. Appl. Clifford Algebr. 26, No. 4, 1195-1210 (2016). MSC: 94B15 94B05 15B33 17A05 PDFBibTeX XMLCite \textit{C. Flaut}, Adv. Appl. Clifford Algebr. 26, No. 4, 1195--1210 (2016; Zbl 1402.94101) Full Text: DOI arXiv
Yildiz, Onder Gokmen; Kosal, Hidayet Huda; Tosun, Murat On the semisimilarity and consemisimilarity of split quaternions. (English) Zbl 1343.15019 Adv. Appl. Clifford Algebr. 26, No. 2, 847-859 (2016). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15B33 15A21 PDFBibTeX XMLCite \textit{O. G. Yildiz} et al., Adv. Appl. Clifford Algebr. 26, No. 2, 847--859 (2016; Zbl 1343.15019) Full Text: DOI
Polatlı, Emrah A generalization of Fibonacci and Lucas quaternions. (English) Zbl 1368.11016 Adv. Appl. Clifford Algebr. 26, No. 2, 719-730 (2016). MSC: 11B39 PDFBibTeX XMLCite \textit{E. Polatlı}, Adv. Appl. Clifford Algebr. 26, No. 2, 719--730 (2016; Zbl 1368.11016) Full Text: DOI
Catarino, Paula The modified Pell and the modified \(k\)-Pell quaternions and octonions. (English) Zbl 1380.11010 Adv. Appl. Clifford Algebr. 26, No. 2, 577-590 (2016). MSC: 11B39 05A15 PDFBibTeX XMLCite \textit{P. Catarino}, Adv. Appl. Clifford Algebr. 26, No. 2, 577--590 (2016; Zbl 1380.11010) Full Text: DOI
Shpakivskyi, V. S. Curvilinear integral theorems for monogenic functions in commutative associative algebras. (English) Zbl 1337.30062 Adv. Appl. Clifford Algebr. 26, No. 1, 417-434 (2016). MSC: 30G35 PDFBibTeX XMLCite \textit{V. S. Shpakivskyi}, Adv. Appl. Clifford Algebr. 26, No. 1, 417--434 (2016; Zbl 1337.30062) Full Text: DOI arXiv
Polatli, Emrah; Kizilates, Can; Kesim, Seyhun On split \(k\)-Fibonacci and \(k\)-Lucas quaternions. (English) Zbl 1344.11023 Adv. Appl. Clifford Algebr. 26, No. 1, 353-362 (2016). MSC: 11B39 PDFBibTeX XMLCite \textit{E. Polatli} et al., Adv. Appl. Clifford Algebr. 26, No. 1, 353--362 (2016; Zbl 1344.11023) Full Text: DOI
Catarino, Paula The \(h(x)\)-Fibonacci quaternion polynomials: some combinatorial properties. (English) Zbl 1344.11018 Adv. Appl. Clifford Algebr. 26, No. 1, 71-79 (2016). MSC: 11B39 05A15 PDFBibTeX XMLCite \textit{P. Catarino}, Adv. Appl. Clifford Algebr. 26, No. 1, 71--79 (2016; Zbl 1344.11018) Full Text: DOI
Flaut, Cristina; Savin, Diana Quaternion algebras and generalized Fibonacci-Lucas quaternions. (English) Zbl 1342.11089 Adv. Appl. Clifford Algebr. 25, No. 4, 853-862 (2015). MSC: 11R52 11B39 16H05 PDFBibTeX XMLCite \textit{C. Flaut} and \textit{D. Savin}, Adv. Appl. Clifford Algebr. 25, No. 4, 853--862 (2015; Zbl 1342.11089) Full Text: DOI arXiv
Flaut, Cristina; Shpakivskyi, Vitalii An efficient method for solving equations in generalized quaternion and octonion algebras. (English) Zbl 1331.15018 Adv. Appl. Clifford Algebr. 25, No. 2, 337-350 (2015). Reviewer: Sirkka-Liisa Eriksson (Tampere) MSC: 15A66 15B33 15A30 PDFBibTeX XMLCite \textit{C. Flaut} and \textit{V. Shpakivskyi}, Adv. Appl. Clifford Algebr. 25, No. 2, 337--350 (2015; Zbl 1331.15018) Full Text: DOI arXiv
Flaut, Cristina; Shpakivskyi, Vitalii Some identities in algebras obtained by the Cayley-Dickson process. (English) Zbl 1277.15017 Adv. Appl. Clifford Algebr. 23, No. 1, 63-76 (2013). Reviewer: Süleyman Güler (Aydin) MSC: 30G35 17A35 15A66 PDFBibTeX XMLCite \textit{C. Flaut} and \textit{V. Shpakivskyi}, Adv. Appl. Clifford Algebr. 23, No. 1, 63--76 (2013; Zbl 1277.15017) Full Text: DOI arXiv
Shpakivskyi, Vitalii S. Linear quaternionic equations and their systems. (English) Zbl 1226.15002 Adv. Appl. Clifford Algebr. 21, No. 3, 637-645 (2011). MSC: 15A06 11R52 15B33 PDFBibTeX XMLCite \textit{V. S. Shpakivskyi}, Adv. Appl. Clifford Algebr. 21, No. 3, 637--645 (2011; Zbl 1226.15002) Full Text: DOI