Geodesic
Direct powers of algebraic structures and equations
Prikladnaâ diskretnaâ matematika, no. 4 (2022), pp. 31-39

Voir la notice de l'article provenant de la source Math-Net.Ru

We study systems of equations over graphs, posets and matroids. We give the criteria when a direct power of such algebraic structures is equationally Noetherian. Moreover, we prove that any direct power of any finite algebraic structure is weakly equationally Noetherian.
Keywords: graphs, matroids, finite algebraic structures, direct powers, equationally Noetherian algebraic structures. 
@article{PDM_2022_4_a3,
     author = {A. Shevlyakov},
     title = {Direct powers of algebraic structures and equations},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {31--39},
     publisher = {mathdoc},
     number = {4},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PDM_2022_4_a3/}
}
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A. Shevlyakov. Direct powers of algebraic structures and equations. Prikladnaâ diskretnaâ matematika, no. 4 (2022), pp. 31-39. http://geodesic.mathdoc.fr/item/PDM_2022_4_a3/