Functions on Groups with Multiple Operators
نویسنده
چکیده
A group G (with additively written, not necessarily commutative group operation and neutral element 0) is called an H-group if there is a certain system Cl of w-ary algebraic operations (for certain natural numbers n) besides the addition such that for each w-ary operation OJEQ the condition 00... 0w = 0 (with n zeros on the left side) is satisfied. An important concept is that of an Q-ideal in an Q-group G. A non-emptjr subset A of an Q-group G is called an Q-ideal in G if (i) A is a normal subgroup of the additive group of G, and (ii) for each w-ary operation coed, each aeA and xvx2, ...,xneG arbitrarily chosen, the following relations hold:
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