کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9493240 | 1334228 | 2005 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Two-graded absolute valued algebras
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
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چکیده انگلیسی
We study two-graded absolute valued algebras. These are two-graded algebras satisfying the absolute value multiplicative property only on homogeneous elements. Thus, hexagonions (also called sedenions) and other sixteen-dimensional algebras arise as examples of these algebras. The even parts of two-graded absolute valued algebras are the absolute valued algebras, while the odd parts are exactly the absolute valued triple systems. So, in a way these two-graded algebras give a unifying viewpoint of both structures. We also study the simplicity and give several ways to construct two-graded absolute valued algebras. We also provide a description of isomorphism classes for two-graded absolute valued algebras of dimensions 1, 2 and 4.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 292, Issue 2, 15 October 2005, Pages 492-515
Journal: Journal of Algebra - Volume 292, Issue 2, 15 October 2005, Pages 492-515
نویسندگان
Antonio J. Calderón MartÃn, Cándido MartÃn González,