diff options
Diffstat (limited to 'ac/n2.lyx')
| -rw-r--r-- | ac/n2.lyx | 14 |
1 files changed, 7 insertions, 7 deletions
@@ -771,7 +771,7 @@ Para \end_inset , los -\begin_inset Formula $I_{n}\coloneqq\{a:\forall k>n,a_{k}=0\}$ +\begin_inset Formula $I_{n}\coloneqq\{a\mid \forall k>n,a_{k}=0\}$ \end_inset cumplen @@ -779,7 +779,7 @@ Para \end_inset y los -\begin_inset Formula $J_{n}\coloneqq\{a:\forall k<n,a_{k}=0\}$ +\begin_inset Formula $J_{n}\coloneqq\{a\mid \forall k<n,a_{k}=0\}$ \end_inset cumplen @@ -1333,7 +1333,7 @@ Dados \end_inset , llamamos -\begin_inset Formula $(I:S)=\{a\in A:aS\subseteq I\}$ +\begin_inset Formula $(I:S)=\{a\in A\mid aS\subseteq I\}$ \end_inset . @@ -1491,7 +1491,7 @@ anulador \end_inset a -\begin_inset Formula $\text{ann}_{A}(X)\coloneqq(0:X)=\{a\in A:aX=0\}$ +\begin_inset Formula $\text{ann}_{A}(X)\coloneqq(0:X)=\{a\in A\mid aX=0\}$ \end_inset , y entonces @@ -1719,7 +1719,7 @@ Claramente \end_layout \begin_layout Standard -\begin_inset Formula $(P:(a))=\{c\in A:c(a)=(ca)\subseteq P\}=\{c\in A:ac\in P\}$ +\begin_inset Formula $(P:(a))=\{c\in A\mid c(a)=(ca)\subseteq P\}=\{c\in A\mid ac\in P\}$ \end_inset , y entonces @@ -2218,7 +2218,7 @@ dimensión de Krull es \begin_inset Formula \[ -\dim A\coloneqq\text{Kdim}A\coloneqq\sup\{n\in\mathbb{N}:\exists P_{0},\dots,P_{n}\trianglelefteq_{\text{p}}A:P_{0}\subsetneq\dots\subsetneq P_{n}\}\in\mathbb{N}\cup\{\infty\}, +\dim A\coloneqq\text{Kdim}A\coloneqq\sup\{n\in\mathbb{N}\mid \exists P_{0},\dots,P_{n}\trianglelefteq_{\text{p}}A:P_{0}\subsetneq\dots\subsetneq P_{n}\}\in\mathbb{N}\cup\{\infty\}, \] \end_inset @@ -2443,7 +2443,7 @@ Dado . Si no lo fuera, -\begin_inset Formula $\Omega\coloneqq\{K\trianglelefteq A:KI\neq0\}\neq\emptyset$ +\begin_inset Formula $\Omega\coloneqq\{K\trianglelefteq A\mid KI\neq0\}\neq\emptyset$ \end_inset , pues |