Real Division Algebras of Dimension &gt; 1 Contain &amp;#8450

Petro, John

doi:10.2307/2322730

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Four-dimensional Real Division Algebras With Non-trivial Der1

New Examples In Dimension1

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2016

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Cited by 3 publications

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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

A note on the real division algebras with non-trivial derivations

Diabang¹,

Diankha²,

Ly³

et al. 2016

ija

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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%