@article{Bossaller2021IdealEA,
title={Ideal Extensions and Directly Infinite Algebras},
author={Daniel P. Bossaller},
journal={Journal of Pure and Applied Algebra},
year={2021}
}

useful in analysis, and is related to the left centralizer concept which J. G. Wendel used to investigate group algebras. The commutative version of this idea was first introduced by S. Helgason… Expand

Given two unital associative rings R ⊆ S, the ring S is said to be an ideal (or Dorroh) extension of R if S = R ⊕ I, for some ideal I ⊆ S. In this note, we investigate the ideal structure of an… Expand

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The basics of C*-algebras Normal operators and abelian C*-algebras Approximately finite dimensional (AF) C*-algebras $K$-theory for AF C*-algebras C*-algebras of isometries Irrational rotation… Expand

Let \( \mathfrak{A} \) be an arbitrary ring with an identity 1, and suppose that \( \mathfrak{A} \) contains a pair of elements u, v such that
$$ uv = 1\;but\;vu \ne 1 $$
(1)
We introduce… Expand

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