Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Affine regular dodecahedron in GS-quasigroups
Authors: Z. Kolar—Begovic, V. Volenec
– 0.17 Mb
Abstract
The concept of the affine regular dodecahedron is defined in any GS quasigroup by means of twelve ARP relation which are valid for five out of thenty points. A number of statements about the connection of the corresponding vertrices of the dodecahedron will be proved. Quaternary relations Par, GST, DGST can be found in these statements. The theorem of the unique determination of the affine regular dodecahedron by means of its four vertrices which satisfy certain conditions will be proved. The geometrical interpretation of all mentioned concepts and relations will be given in the GS quasigroup C(1/2(1+sqrt(5))).Volenec V.
Department of Mathematics,
University of Zagreb,
10000 Zagreb,
Bijenicka c. 30,
Croatia
E-mail:
____________________________________
Z.Kolar-Begovic
Departament of Matematics,
University of Osijek,
Gajev trg 6,
HR-31 000 Osijek,
Croatia.
E-mail:
Department of Mathematics,
University of Zagreb,
10000 Zagreb,
Bijenicka c. 30,
Croatia
E-mail:
____________________________________
Z.Kolar-Begovic
Departament of Matematics,
University of Osijek,
Gajev trg 6,
HR-31 000 Osijek,
Croatia.
E-mail:
Fulltext
– 0.17 Mb
Contents
- Fuzzy isomorphism and quotient of fuzzy subpolygroups
- On graded weakly primary ideals
- On decomposable hyper BCK-algebras
- Factorization of simple groups involving the alternating group
- Intuitionistic fuzzy approach to n-ary systems
- Affine regular dodecahedron in GS-quasigroups
- Maple implementation of the ElGamal public key encryption scheme working in SMG(pm)
- Computing in GF(pm) and in gff(nm) using Maple
- AES with the increased confidentiality
- A class of quasigroups associated with a cubic Pisot number
- On medial-like identities
