Geodesic
The uniform $id$-decomposition of functions of many-valued logic over homogeneous functions
Diskretnaya Matematika, Tome 22 (2010) no. 4, pp. 55-63

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We consider the uniform $id$-decomposition of functions of the class $P_k$ of functions of $k$-valued logic over the class $H^*_k$ of structural homogeneous functions and the class $D_k$ of homogeneous functions generated by the dual discriminator $d$. We find the degrees of the uniform $id$-decomposition of the class $P_k$ over the classes $H^*_k$ and $D_k$ and give the methods of construction of homogeneous functions over which the uniform $id$-decomposition of the class $P_k$ is realised. 
@article{DM_2010_22_4_a4,
     author = {S. S. Marchenkov},
     title = {The uniform $id$-decomposition of functions of many-valued logic over homogeneous functions},
     journal = {Diskretnaya Matematika},
     pages = {55--63},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2010_22_4_a4/}
}
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S. S. Marchenkov. The uniform $id$-decomposition of functions of many-valued logic over homogeneous functions. Diskretnaya Matematika, Tome 22 (2010) no. 4, pp. 55-63. http://geodesic.mathdoc.fr/item/DM_2010_22_4_a4/