113 citations · 374 across the 71 of their papers we have counts for
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math.RA2017★ 4 cited
Polyadic integer numbers and finite (m,n)-fields
Steven Duplij
The polyadic integer numbers, which form a polyadic ring, are representatives of a fixed congruence class. The basics of polyadic arithmetic are presented: prime polyadic numbers,…
hep-th2017
Conformal symmetry transformations and nonlinear Maxwell equations
Gerald A. Goldin, Vladimir M. Shtelen, Steven Duplij
We make use of the conformal compactification of Minkowski spacetime to explore a way of describing general, nonlinear Maxwell fields with conformal symmetry. We distingui…
math.RA2017★ 7 cited
Arity shape of polyadic algebraic structures
Steven Duplij
Concrete two-set (module-like and algebra-like) algebraic structures are investigated from the viewpoint that the initial arities of all operations are arbitrary. Relations between…