The identities of additive binary arithmetics

Details The identities of additive binary arithmetics The identities of additive binary arithmetics

2011-02-27

arxiv.org/abs/1102.5555v3

Electronic Journal of Combinatorics, 2012, 19, #P40

Computer Science

Discrete Mathematics

6 pages. A Russian version of this paper is at http://mech.math.msu.su/department/algebra/staff/klyachko/papers.htm . V3: th

Scientific paper

Operations of arbitrary arity expressible via addition modulo 2^n and bitwise
addition modulo 2 admit a simple description. The identities connecting these
two additions have finite basis. Moreover, the universal algebra with these two
operations is rationally equivalent to a nilpotent ring and, therefore,
generates a Specht variety.

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