1987
DOI: 10.2307/2322730
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Real Division Algebras of Dimension > 1 Contain &#8450

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Cited by 3 publications
(2 citation statements)
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“…According to the notations of Lemma 1, we have A = B 0 ⊕ B i . Moreover, B 0 contains e, which is the only non-zero idempotent of algebra A [12, Theorem 1], and is isomorphic to C ([13, Corollary 1], [9]). So u 2 = −e for some u in B 0 .…”
Section: Four-dimensional Real Division Algebras With Non-trivial Dermentioning
confidence: 99%
See 1 more Smart Citation
“…According to the notations of Lemma 1, we have A = B 0 ⊕ B i . Moreover, B 0 contains e, which is the only non-zero idempotent of algebra A [12, Theorem 1], and is isomorphic to C ([13, Corollary 1], [9]). So u 2 = −e for some u in B 0 .…”
Section: Four-dimensional Real Division Algebras With Non-trivial Dermentioning
confidence: 99%
“…The first proposition is given in Lemma 4. The second one is consequence of Lemma 4 by taking into account that every 2-dimensional subalgebra of E κ (H) contains the unit element (1, 0) [12, Theorem 1] and is isomorphic to C ([13, Corollary 1], [9]). Theorem 3.…”
Section: New Examples In Dimensionmentioning
confidence: 99%