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    Minc, H. 1957. XXI.—Index Polynomials and Bifurcating Root-Trees. Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences, Vol. 64, Issue. 04, p. 319.


    Etherington, I. M. H. 1954. XI.—Theory of Indices for Non-Associative Algebra. Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences, Vol. 64, Issue. 02, p. 150.


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  • Proceedings of the Edinburgh Mathematical Society, Volume 9, Issue 2
  • November 1954, pp. 74-81

Logarithmetics of Finite Quasigroups (I)

  • Helen Popova (a1)
  • DOI: http://dx.doi.org/10.1017/S0013091500021325
  • Published online: 01 January 2009
Abstract

The study of non-associative algebras led to the investigation of identities connecting powers of elements of such algebras. Thus Etherington1 (1941, 1949, 1951) introduced the concept of the logarithmetic of an algebra, defining it roughly as “ the arithmetic of the indices of the general element”.

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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

D. C. Murdoch , “Quasigroups which satisfy certain generalised associative lawsAmerican J. of Math., 61 (1939), 509522.

B. A. Hausmann and O. Ore , “Theory of quasigroupsAmerican J. of Math., 59 (1937), 9831004.

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Proceedings of the Edinburgh Mathematical Society
  • ISSN: 0013-0915
  • EISSN: 1464-3839
  • URL: /core/journals/proceedings-of-the-edinburgh-mathematical-society
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