Pregled bibliografske jedinice broj: 894274
Geometry of pentagonal quasigroups
Geometry of pentagonal quasigroups // Publications de l'Institut Mathématique (Belgrade), 99 (2014), 109-120 doi:10.2298/PIM141208013V (međunarodna recenzija, članak, znanstveni)
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Naslov
Geometry of pentagonal quasigroups
Autori
Vidak, Stipe
Izvornik
Publications de l'Institut Mathématique (Belgrade) (0350-1302) 99
(2014);
109-120
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
IM-quasigroup, pentagonal quasigroup, regular pentagon, regular decagon
Sažetak
Pentagonal quasigroups are IM-quasigroups in which the additional identity of pentagonality holds. Motivated by the example C(q), where q is a solution of the equation q 4 − 3q 3 + 4q 2 − 2q + 1 = 0, some basic geometric concepts are introduced and studied in a general pentagonal quasigroup. Such concepts are parallelogram, midpoint of a segment, regular pentagon and regular decagon. Some theorems of Euclidean plane which use these concepts are stated and proved in pentagonal quasigroups.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
