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140 165 (0,215s)

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Groupoids and the Associative Law VIIB: SH-Groupoids and Simply Generated Congruences

Congruences on groupoids having just one non-associative triple (a,b,a) are investigated. There is constructed groupoid generated by two-element set {a,b} having just one non-associative triple (a...

BA - Obecná matematika

  • 2011
  • Jx
Result

Semigroup Distances of Finite Groupoids

The simplest cases of non-associative groupoids are presented by groupoids (so called SH-groupoids) having just one non-associative (ordered) triple of elements. In this paper only SH-groupoids having the ...

BA - Obecná matematika

  • 2014
  • Jx
Result

Groupoids and the Associative Law VII. (Semigroup Distance of SH-Groupoids)

Szasz-Hájek groupoids are those groupoids that contain just one non-associative (ordered) triple of elements. These groupoids were studied by G. Szász. The present short note is concerned with semigroup distances of SH-grou...

BA - Obecná matematika

  • 2006
  • Jx
Result

Flexible Latin directed triple systems

triple systems. The quasigroups associated with Steiner and Mendelsohn triple systems-607], we studied non-flexible Latin directed triple systems. In this paper we turnIt is well known that, given a Stein...

Pure mathematics

  • 2017
  • Jimp
Result

Groupoids and the Associative Law VIIA. (SH-Groupoids of Type (A,B,A) and their Semigroup Distances)

Szász-Hájek groupoids (shortůy SH-groupoids) are those groupoids that contain just one non-associative (ordered) triple of elements. These groupoids were studied by G. Szász (see (10) amd (11)), P. Hájek (see (2) and (3)) a...

BA - Obecná matematika

  • 2007
  • Jx
Result

Nonassociative triples in involutory loops and in loops of small order

A loop of order n possesses at least 3n(2) - 3n + 1 associative triples. If the loop is involutory, then it possesses at least 3n(2) - 2n associative triples. Involutory loops with 3n(2) - 2n associative <...

Pure mathematics

  • 2021
  • Jimp
  • Link
Result

A DOLBEAULT-DIRAC SPECTRAL TRIPLE FOR QUANTUM PROJECTIVE SPACE

positive definite Kahler structure has a canonically associated triple satisfying, up to the compact resolvent condition, Connes' axioms for a spectral triple. In this paper with its Heckenberger-Kolb differential cal...

Pure mathematics

  • 2020
  • Jimp
  • Link
Result

Maximal nonassociativity via nearfields

We say that (x, y, z) Q3 is an associative triple in a quasigroup Q(*) if (x * y) * z = x * (y * z). It is easy to show that the number of associative triples) associative triples do not exist whe...

Pure mathematics

  • 2020
  • Jimp
  • Link
Result

Measures of weak non-compactness in preduals of von Neumann algebras and JBW*-triples

We prove, among other results, that three standard measures of weak non-compactness coincide in preduals of JBW*-triples. This result is new even for preduals of von Neumann algebras. We further provide a characterization of JBW*-

Pure mathematics

  • 2020
  • Jimp
  • Link
Result

Groupoids and the Associative Law IX. (Associative Triples in Some Classes of Groupoids)

BA - Obecná matematika

  • 1997
  • Jx
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