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2010, vol. 14, br. 1, str. 47-51
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Some equalities which hold in the (n, m): Group (q, a) for n ≥ 2m
(naslov ne postoji na srpskom)
Sažetak
(ne postoji na srpskom)
In this paper, we have proved two equalities which hold in an (n, m)-group (Q, A) for n ≥ 2m. The first of them is a generalization of the equality (a * b)-1 = b-1 *a-1, which holds in the binary group (Q; *). The second of them is equality A(xm 1 ; bn-2m1 ; ym1 ) = A(A(xm 1 ; an-2m 1 ; (an-2m 1, e(bn-2m 1))-1), an-2m 1, ym1 ).
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Reference
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Cupona (1983) Vector valued semi groups. Semi group forum, 26, 65-74
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7
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Ušan, J. (1989) Neutral operations of (n, m)-groupoids. Rev. of Research, Fac. of Sci. Univ. of Novi Sad, Math. Ser, 19, No. 2, 125-137
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Ušan, J. (1994) A comment on n-groups. Zbornik Rad. Prirod.-Mat. Fak. Univ. Novi Sad, 24, 1, 281-288
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8
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Ušan, J. (1999) Note on (n, m)-groups. Mathematica Moravica, 3, 127-139
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