Тип публикации: статья из журнала

Год издания: 2017

Идентификатор DOI: 10.1080/00927872.2016.1236935

Ключевые слова: Automorphism, bilinear maps, conservative algebra, ideal, idempotent

Аннотация: In 1990 Kantor defined the conservative algebra W(n) of all algebras (i.e. bilinear maps) on the n-dimensional vector space. If n1, then the algebra W(n) does not belong to any well-known class of algebras (such as associative, Lie, Jordan, or Leibniz algebras). We describe automorphisms, one-sided ideals, and idempotents of W(2). Показать полностьюAlso similar problems are solved for the algebra W2 of all commutative algebras on the 2-dimensional vector space and for the algebra S2 of all commutative algebras with trace zero multiplication on the 2-dimensional vector space. © 2017 Taylor & Francis.

Журнал: Communications in Algebra

Выпуск журнала: Vol. 45, Is. 8

Номера страниц: 3413-3421

ISSN журнала: 00927872

Издатель: Taylor and Francis Inc.

• Kaygorodov I. (Universidade Federal do ABC, CMCC, Santo André, Brazil, Siberian State Aerospace University, Krasnoyarsk, Russian Federation)
• Volkov Y. (Universidade de São Paulo, IME, Sao Paulo, Brazil, Saint Petersburg State University, Saint Petersburg, Russian Federation)

• Scopus