Geodesic
Hadamard algebras possessing the unique noncommutative simple component
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2011), pp. 46-48
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The famous conjecture on the orders of Hadamard matrices may be reformulated as follows: a commutative algebra is Hadamard if and only if its dimension is divisible by $4$. This paper investigates the Hadamard algebras closed to commutative ones, namely, the algebras possessing the unique noncommutative simple component — the matrix algebra of order $2$. 
@article{VMUMM_2011_5_a8,
     author = {D. N. Ivanov},
     title = {Hadamard algebras possessing the unique noncommutative simple component},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {46--48},
     year = {2011},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2011_5_a8/}
}
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D. N. Ivanov. Hadamard algebras possessing the unique noncommutative simple component. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2011), pp. 46-48. http://geodesic.mathdoc.fr/item/VMUMM_2011_5_a8/