The matrix equation a(x...y) = a(x) + a(x)a(y) + a(y).
Aequationes mathematicae, Tome 15 (1977), pp. 213-224.

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@article{AM2_1977__15_136652,
     author = {M.A. McKiernan},
     title = {The matrix equation a(x...y) = a(x) + a(x)a(y) + a(y).},
     journal = {Aequationes mathematicae},
     pages = {213--224},
     publisher = {mathdoc},
     volume = {15},
     year = {1977},
     zbl = {0359.39002},
     url = {http://geodesic.mathdoc.fr/item/AM2_1977__15_136652/}
}
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M.A. McKiernan. The matrix equation a(x...y) = a(x) + a(x)a(y) + a(y).. Aequationes mathematicae, Tome 15 (1977), pp. 213-224. http://geodesic.mathdoc.fr/item/AM2_1977__15_136652/