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arXiv · 1102.5555

The identities of additive binary arithmetics

Anton A. Klyachko·Ekaterina V. Menshova
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Abstract

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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Anton A. Klyachko, Ekaterina V. Menshova. 2011-02-27. The identities of additive binary arithmetics. https://doi.org/10.37236/2044

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