Akcije

Mathematica Moravica
kako citirati ovaj članak
podeli ovaj članak

Metrika

  • citati u SCIndeksu: 0
  • citati u CrossRef-u:0
  • citati u Google Scholaru:[]
  • posete u poslednjih 30 dana:4
  • preuzimanja u poslednjih 30 dana:4

Sadržaj

članak: 1 od 1  
2006, br. 10, str. 91-100
On super-associative algebras with (2m,m)-quasigroup operations for m ≥ 2
(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
Sažetak
(ne postoji na srpskom)
In this paper super-associative algebras with (2m,m)-quasigroup operations are considered. Case m = 1 is described in [1]. Super-associative algebras with n-quasigroup operations for n = 3 Yu. Movsisyan was described in 1984 (cf. [6]). Case n ≥ 3 was described in [10]. See, also [11].
Reference
Belousov, V.D. (1965) Systems of quasigroups with generalized identities. Usp. mat. nauk, 20, br. 1, 75-146 (in Russian)
Čupona, G. (1983) Vector valued semigroups. Semigroup Forum, 26(1): 65-74
Čupona, G., Dimovski, D. (1984) On a class of vector valued groups. u: Proceedings of the Conf. 'Algebra and Logic', Zagreb, 29-37
Čupona, G., Celakoski, N., Markovski, S., Dimovski, D. (1988) Vector valued groupoids, semi groups and groups. u: Popov B., Čupona G., Celakoski N. [ur.] Vector valued semi groups and groups, Skopje, str. 1-78
Dornte, W.D. (1928) Untersuchungen über einen verallgemeinerten Gruppenbegriff. Mathematische Zeitschrift, 29, 1-19
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. (1989) Neutral operations of (n, m)-groupoids. Zbornik radova Prirodno-matematičkog fakulteta u Novom Sadu: Serija Matematika, 19, br. 2, 125-137, in Russian
Ušan, J. (1999) Note on (n, m)-groups. Mathematica Moravica, 3, 127-139
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)
Ušan, J. (2006) (n,m)-groups in the light of the neutral operations survey article. Mathematica Moravica, br. 10, str. 107-147
 

O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/MatMor0610100U
objavljen u SCIndeksu: 02.06.2007.

Povezani članci

Mathematica Moravica (2006)
(n,m)-groups in the light of the neutral operations survey article
Ušan Janez

Mathematica Moravica (2005)
About a class of (n, m)-groups
Ušan Janez

Mathematica Moravica (2004)
Two characterizations of (n,m)-groups for n≥3m
Ušan Janez, i dr.

prikaži sve [24]