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Pregled bibliografske jedinice broj: 453607

Napoleon's quasigroups


Krčadinac, Vedran
Napoleon's quasigroups // Mathematica slovaca, 61 (2011), 6; 885-894 doi:10.2478/s12175-011-0055-9 (međunarodna recenzija, članak, znanstveni)


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Naslov
Napoleon's quasigroups

Autori
Krčadinac, Vedran

Izvornik
Mathematica slovaca (0139-9918) 61 (2011), 6; 885-894

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
medial quasigroup ; Napoleon's theorem

Sažetak
Napoleon's quasigroups are idempotent medial quasigroups satisfying the identity (ab.b)(b.ba)=b. In works by V.Volenec geometric terminology has been introduced in medial quasigroups, enabling proofs of many theorems of plane geometry to be carried out by formal calculations in a quasigroup. This class of quasigroups is particularly suited for proving Napoleon's theorem and other similar theorems about equilateral triangles and centroids.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
MZOS-037-0372785-2759 - Neasocijativne algebarske strukture i njihove primjene (Volenec, Vladimir, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Vedran Krčadinac (autor)

Poveznice na cjeloviti tekst rada:

doi www.degruyter.com www.degruyter.com doi.org

Citiraj ovu publikaciju:

Krčadinac, Vedran
Napoleon's quasigroups // Mathematica slovaca, 61 (2011), 6; 885-894 doi:10.2478/s12175-011-0055-9 (međunarodna recenzija, članak, znanstveni)
Krčadinac, V. (2011) Napoleon's quasigroups. Mathematica slovaca, 61 (6), 885-894 doi:10.2478/s12175-011-0055-9.
@article{article, author = {Kr\v{c}adinac, Vedran}, year = {2011}, pages = {885-894}, DOI = {10.2478/s12175-011-0055-9}, keywords = {medial quasigroup, Napoleon's theorem}, journal = {Mathematica slovaca}, doi = {10.2478/s12175-011-0055-9}, volume = {61}, number = {6}, issn = {0139-9918}, title = {Napoleon's quasigroups}, keyword = {medial quasigroup, Napoleon's theorem} }
@article{article, author = {Kr\v{c}adinac, Vedran}, year = {2011}, pages = {885-894}, DOI = {10.2478/s12175-011-0055-9}, keywords = {medial quasigroup, Napoleon's theorem}, journal = {Mathematica slovaca}, doi = {10.2478/s12175-011-0055-9}, volume = {61}, number = {6}, issn = {0139-9918}, title = {Napoleon's quasigroups}, keyword = {medial quasigroup, Napoleon's theorem} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


Citati:





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