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2004, br. 8-2, str. 95-99
On congruence of super-associative algebras with n-quasigroup operations, n≥3
(naslov ne postoji na srpskom)
aUniverzitet u Novom Sadu, Prirodno-matematički fakultet, Departman za matematiku i informatiku
bUniverzitet u Kragujevcu, Tehnički fakultet, Čačak

e-adresazizo@tfc.kg.ac.yu
Ključne reči: n-group; super-associative algebra with n-quasigroup operations
Sažetak
(ne postoji na srpskom)
In this paper Con(Q,Σ), where (Q,Σ) is a super-associative algebras with n-quasigroup operations, n ≥ 3, is described.
Reference
Belousov, V.D. (1965) Systems of quasigroups with generalized identities. Usp. mat. nauk, 20, br. 1, 75-146 (in Russian)
Dornte, W.D. (1928) Untersuchungen über einen verallgemeinerten Gruppenbegriff. Mathematische Zeitschrift, 29, 1-19
Gluskin, L.M. (1965) Positional operatives. Matem. Sbornik, 68 (110), 444-472
Hosszu, M. (1963) On the explicit form of $n$-group operations. Publ. Math. Debrecen, 10, 88-92
Movsisyan, Yu.M. (1986) Introduction to the theory of algebras with hyperidentities. Erevan: Erevan Univ
Ušan, J. (1988) Neutral operations of n-groupoids. Zbornik radova Prirodno-matematičkog fakulteta u Novom Sadu: Serija Matematika, br. 18-2, 117-126, in Russian
Ušan, J. (1994) A comment on $n$-groups. Zbornik Rad. Prirod.-Mat. Fak. Univ. Novi Sad, 24, 1, 281-288
Ušan, J. (1995) On Hosszú-Gluskin algebras corresponding to the same n-group. Zbornik radova Prirodno-matematičkog fakulteta u Novom Sadu: Serija Matematika, 25, br. 1, 101-119
Ušan, J. (1997) n-groups as variety of type . u: Pinus A.G., Ponomaryov K.N. [ur.] Algebra and Model Theory, Collection of papers, Novosibirsk, str. 182-208
Ušan, J. (1998) Congruences of $n$-group and of associated Hossz\'u-Gluskin algebras. Journal of Mathematics, Novi Sad, 28, 2, 91-108
Ušan, J. (2001) Description of super associative algebras with n-quasigroup operations. Mathematica Moravica, br. 5, str. 129-157
Ušan, J. (2003) n-groups in the light of the neutral operations. Mathematica Moravica, Special vol. monograph (Electronic Version-2006: http//www.moravica.tfc.kg.ac.yu)
 

O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/MatMor0402095U
objavljen u SCIndeksu: 02.06.2007.

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