Geodesic
The identities of additive binary arithmetics
The electronic journal of combinatorics, Tome 19 (2012) no. 1
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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 a finite basis. Moreover, the universal algebra $\mathbb{Z}/2^n\mathbb{Z}$ with these two operations is rationally equivalent to a nilpotent ring and, therefore, generates a Specht variety.
DOI : 10.37236/2044
Classification : 08A70, 08A40, 08B20
Mots-clés : identities, additive binary arithmetics, nilpotent ring, Specht variety 
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     title = {The identities of additive binary arithmetics},
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Anton A. Klyachko; Ekaterina V. Menshova. The identities of additive binary arithmetics. The electronic journal of combinatorics, Tome 19 (2012) no. 1. doi: 10.37236/2044

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