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Elementary operators on 𝒥-subspace lattice algebras

Published online by Cambridge University Press:  17 April 2009

Pengtong Li  and
Fangyan Lu
Pengtong Li
Affiliation:
Department of Mathematics, College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People's Republic of China, e-mail: pengtonglee@vip.sina.com
Fangyan Lu
Affiliation:
Department of Mathematics, Suzhou University, Suzhou 215006, People's Republic of China, e-mail: fylu@pub.sz.jsinfo.net
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Abstract

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The abstract concept of an elementary operator was recently introduced and studied by other authors. In this paper, we describe the general form of elementary operators between standard subalgebras of 𝒥-subspace lattice algebras. The result can apply to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 3 , December 2003 , pp. 395 - 404
Copyright
Copyright © Australian Mathematical Society 2003

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