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- W2794343721 abstract "In the present paper the following proposition is proved. Let n ≥ 3m and let (Q,A) be an (n, m)-groupoid. Then, (Q,A) is an (n, m)-group if for some i Є {m + 1,..., n − 2m + 1} the following conditions hold: (a) the <i − 1i>-associative law holds in (Q,A); (b) the <i, i + 1>-associative law holds in (Q,A); and (c) for every an 1 Є Q there is exactly one xm 1 Є Q such that the following equality holds A(a i−1 1, xm 1, a n−m i) = a n n - m + 1." @default.
- W2794343721 created "2018-03-29" @default.
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- W2794343721 date "2001-01-01" @default.
- W2794343721 modified "2023-09-26" @default.
- W2794343721 title "A comment on (n, m)-groups for n ≥ 3m" @default.
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- W2794343721 doi "https://doi.org/10.5937/matmor0105159u" @default.
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