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Volumn 20, Issue 2, 2010, Pages 401-410

Determination of the biquaternion divisors of zero, including the idempotents and nilpotents

Author keywords

Biquaternion; Idempotent; Nilpotent; Primary 11R52; Quaternion

Indexed keywords


EID: 77952322111     PISSN: 01887009     EISSN: 16614909     Source Type: Journal    
DOI: 10.1007/s00006-010-0202-3     Document Type: Article
Times cited : (12)

References (10)
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    • W. R. Hamilton, On the geometrical interpretation of some results obtained by calculation with biquaternions. In H. Halberstam and R. E. Ingram, editors, The Mathematical Papers of Sir William Rowan Hamilton, volume III Algebra, chapter 35, pages 424-5. Cambridge University Press, Cambridge, 1967. First published in Proceedings of the Royal Irish Academy, 1853.
    • (1853) On the Geometrical Interpretation of Some Results Obtained By Calculation With Biquaternions
    • Hamilton, W.R.1
  • 2
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    • Hodges and Smith, Dublin, 1853. Available online at Cornell University Library
    • W. R. Hamilton, Lectures on Quaternions. Hodges and Smith, Dublin, 1853. Available online at Cornell University Library: http://historical. library.cornell.edu/math/.
    • Lectures On Quaternions
    • Hamilton, W.R.1
  • 3
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    • Preliminary sketch of biquaternions
    • doi: 10.1112/plms/s1-4.1.381. URL
    • William K. Clifford, Preliminary sketch of biquaternions. Proceedings of the London Mathematical Society, s1-4 (1): 381-395, 1871. doi: 10.1112/plms/s1-4.1.381. URL http://plms.oxfordjournals.org.
    • (1871) Proceedings of The London Mathematical Society , vol.s1-4 , Issue.1 , pp. 381-395
    • Clifford, W.K.1
  • 4
    • 25144505579 scopus 로고
    • Van Nostrand, New York, URL
    • Benjamin Peirce, Linear Associative Algebra. Van Nostrand, New York, 1882. URL http://www.archive.org/details/linearassocalgeb00pierrich.
    • (1882) Linear Associative Algebra
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  • 7
    • 33748951977 scopus 로고    scopus 로고
    • Biquaternion (complexified quaternion) roots of -1
    • June, ISSN 0188-7009 (Paper) 1661-4909 (Online). doi: 10.1007/s00006-006-0005-8. Publisher: Birkhäuser Basel
    • S. J. Sangwine, Biquaternion (complexified quaternion) roots of -1. Ad-vances in Applied Clifford Algebras, 16 (1) June (2006), 63-68. ISSN 0188-7009 (Paper) 1661-4909 (Online). doi: 10.1007/s00006-006-0005-8. Publisher: Birkhäuser Basel.
    • (2006) Ad-vances In Applied Clifford Algebras , vol.16 , Issue.1 , pp. 63-68
    • Sangwine, S.J.1
  • 8
    • 0003576156 scopus 로고
    • Cambridge University Press, Cambridge, second edition, ISBN 0-521-23160-4
    • I. R. Porteous, Topological Geometry. Cambridge University Press, Cambridge, second edition, 1981. ISBN 0-521-23160-4.
    • (1981) Topological Geometry
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  • 9
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    • Collins Dictionary of Mathematics
    • E. J. Borowski and J. M. Borwein, editors, 2nd edition, ISBN 0-00-710295-X
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  • 10
    • 0038652528 scopus 로고
    • Quaternions and reflections
    • March
    • H. S. M. Coxeter, Quaternions and reflections. American Mathematical Monthly 53 (3) March (1946), 136-146.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.