ncg

commit fa5da59e293c99f96eca6f66dd1933a8919c99e5
parent 8a865911b1bb0ce40ff8628e4d4401d888f7edd1
Author: miksa234 <milutin@popovic.xyz>
Date:   Sun, 16 May 2021 16:14:25 +0200

week8 done

Diffstat:
M
pdfs/week5.pdf
 | 
0

M
src/week5.tex
 | 
6
++++++

2 files changed, 6 insertions(+), 0 deletions(-)
diff --git a/pdfs/week5.pdf b/pdfs/week5.pdf
Binary files differ.
diff --git a/src/week5.tex b/src/week5.tex
@@ -448,6 +448,12 @@ Extending the this relation we look again at  the notion of equivalence from
 Morita equivalence of Matrix Algebras.
 \newline
 
+\begin{definition}
+    Let $A$ be an algebra. We say that $I \subset A$, as a vector space, is a
+    right(left) ideal if $ab \in I$ for $a \in A$ and $b\in I$ (or $ba \in
+    I$, $b\in I$, $a\in A$). We call a left-right ideal simply an ideal.
+\end{definition}
+
 Given a Hilbert bimodule $E \in KK_f(B, A)$ and $(A, H, D)$ we construct
 a finite spectral triple on $B$, $(B, H', D')$
 \begin{equation}