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Absolute Valued Algebras

✍ Scribed by Fred B. Wright

Book ID: 123669981
Publisher: National Academy of Sciences
Year: 1953
Tongue: English
Weight: 150 KB
Volume: 39
Category: Article
ISSN: 0027-8424
DOI: 10.2307/88584

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📜 SIMILAR VOLUMES

Finite-dimensional absolute-valued algeb

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✍ A. Calderón; A. Kaidi; C. Martín; A. Morales; M. Ramírez; A. Rochdi 📂 Article 📅 2011 🏛 The Hebrew University Magnes Press 🌐 English ⚖ 478 KB

Absolute Valued Algebras with Involution

✍ Rochdi, Abdellatif; Palacios, Ángel Rodriguez 📂 Article 📅 2009 🏛 Taylor and Francis Group 🌐 English ⚖ 127 KB

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✍ MohamedLamei El-Mallah; Hader Elgendy; Abdellatif Rochdi; ÁngelRodríguez Palacio 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 133 KB

Let A be an absolute valued algebra with involution, in the sense of Urbanik [K. Urbanik, Absolute valued algebras with an involution, Fund. Math. 49 (1961) 247-258]. We prove that A is finite-dimensional if and only if the algebra obtained by symmetrizing the product of A is simple, if and only if

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✍ Mohamed Lamei El-Mallah 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 311 KB

Absolute-Valued Algebraic Algebras Are F

Absolute-Valued Algebraic Algebras Are Finite-Dimensional

✍ Kaidi El-Amin; Maria Isabel Ramı́rez; Angel Rodrı́guez Palacios 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 235 KB

We prove that if A is a non-associative algebra over the field of real numbers, if 5 5 5 5 5 5 5 5 there is a norm и on A satisfying xy s x y for all x, y in A, and if every one-generated subalgebra of A is finite-dimensional, then A is finite-dimensional.