On Involutions of Quasi-Division Algebras
Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 723-725
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All algebras are assumed to be finite dimensional and not necessarily associative. An involution of an algebra is an algebra automorphism of order two. A quasi-division algebra is any algebra in which the non-zero elements form a quasi-group under multiplication. The purpose of this short paper is to determine the structure of all involutions of quasi-division algebras and to give an application of this result.
Sweet, Lowell. On Involutions of Quasi-Division Algebras. Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 723-725. doi: 10.4153/CMB-1974-130-1
@article{10_4153_CMB_1974_130_1,
author = {Sweet, Lowell},
title = {On {Involutions} of {Quasi-Division} {Algebras}},
journal = {Canadian mathematical bulletin},
pages = {723--725},
year = {1975},
volume = {17},
number = {5},
doi = {10.4153/CMB-1974-130-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-130-1/}
}
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