Geodesic
On the linear disjunctive decomposition of a $p$-logic function into a sum of functions
Diskretnaya Matematika, Tome 34 (2022) no. 4, pp. 99-107
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Let $p$ be a prime number, $p\ge 3$. We consider the set of decompositions of a $p$-logic function into a sum of functions with disjoint subsets of variables obtained by means of linear substitutions of arguments. Each decomposition of this kind is associated with a decomposition of the vector space into a direct sum of subspaces. We present conditions under which such space decomposition is unique up to rearrangement of subspaces.
Keywords: $p$-logic function, disjunctive sum, linear transformation. 
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A. V. Cheremushkin. On the linear disjunctive decomposition of a $p$-logic function into a sum of functions. Diskretnaya Matematika, Tome 34 (2022) no. 4, pp. 99-107. http://geodesic.mathdoc.fr/item/DM_2022_34_4_a7/

[1] Cheremushkin A. V., “O lineinoi razlozhimosti funktsii $p$-znachnoi logiki v proizvedenie funktsii”, Diskretnaya matematika, 33:4 (2020), 153–171 | MR

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[4] Cheremushkin A. V., “Additivnyi podkhod k opredeleniyu stepeni nelineinosti diskretnoi funktsii”, Prikladnaya diskretnaya matematika, 8:2 (2010), 22–33 | Zbl