Results 111 to 120 of about 998 (166)
Graph decomposition and quasigroup identities
Le Matematiche, 1990 See directly the article.
Curt Lindner
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Parastrophic-orthogonal ternary medial quasigroups with 3 and 4 distinct parastrophes
Математика, інформатика, фізика: наука та освітаIn the article, we study parastrophic-orthogonal ternary quasigroups: namely, group isotopes which have 3 and 4 distinct parastrophes. The necessary and sufficient conditions for ternary medial quasigroups with 3 and 4 distinct parastrophes to be ...
Iryna Fryz, Yevhen Pirus
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Parallelograms in quadratical quasigroups
Quasigroups and related systems, 2010 The "geometric" concept of parallelogram is introduced and investigated in a general quadratical quasigroup and geometrical interpretation in a quadratical quasigroup $C(1/2(1+i)))$ is given. Some statements about relationships between the parallelograms and some other geometric structures in a general quadratical quasigroup will be also considered.
Volenec, Vladimir, Kolar-Šuper, Ružica
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Some conditions for a quasigroup to be a group isotope.
, 2019 Some conditions for a quasigroup to be a group ...
Sokhatsky, F.
core
Periodic quasigroup string transformations [PDF]
, 2009 Given a finite quasigroup (Q,*), a quasigroup string transformations e_l and d_l over the strings of elements from Q are defined as follows. e_l(a_1a_2 ... a_n) = b_1b_2 ... b_n if and only if b_i = b_{i-1}*a_i and d_l(a_1a_2 ... a_n)= b_1b_2 ...
Dimitrova, Vesna +2 more
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An algorithm for judging and generating multivariate quadratic quasigroups over Galois fields. [PDF]
Springerplus, 2016 Zhang Y, Zhang H.
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On the construction of cyclic quasigroups
Discrete Mathematics, 1973 AbstractLet F(x,y) be the free groupoid on two generators x and y. Define an infinite class of words in F(x,y) by w0(x,y) = x,w1(x,y) = y and wi+2(x,y) = wi(x,y)wi+1(x,y). An identity of the form w3n(x,y) = x is called a cyclic identity and a quasigroup satisfying a cyclic identity is called a cyclic quasigroup.
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, 2011 The article is devoted to linear quasigroups and some of their generalizations. In the first part main definitions and notions of the theory of quasigroups are given. In the second part some elementary properties of linear quasigroups and their generalizations are presented.
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Mathematical aspects of molecular replacement. I. Algebraic properties of motion spaces. [PDF]
Acta Crystallogr A, 2011 Chirikjian GS.
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