How to start itemization on same line as text using beamer

Question

I am making a presentation and instead of

I want the first item appear right next to "betrachte". So it is basically what is asked and answered in How to start itemize on same line as text? but I could not get it working with beamer. Can anyone help?

    \documentclass{beamer}
\usepackage{multicol}
\usepackage{framed, color}
\definecolor{shadecolor}{RGB}{228,230,231}
%Zitate und todos
\usepackage{url}
% Reelle, Natürliche, Ganze, Rationale Zahlen
\newcommand{\R}{\ensuremath{\mathbb{R}}}
\newcommand{\N}{\ensuremath{\mathbb{N}}}
\newcommand{\Z}{\ensuremath{\mathbb{Z}}}
\newcommand{\Q}{\ensuremath{\mathbb{Q}}}
% Fraktur für Strukturen
\newcommand{\A}{\ensuremath{\mathfrak A}}
\newcommand{\B}{\ensuremath{\mathfrak B}}
\newcommand{\C}{\ensuremath{\mathfrak C}}
\newcommand{\D}{\ensuremath{\mathfrak D}}
\newcommand{\I}{\ensuremath{\mathfrak I}}
% Makros für logische Operatoren
\newcommand{\xor}{\ensuremath{\oplus}} %exklusives oder
\newcommand{\impl}{\ensuremath{\rightarrow}} %logische Implikation
\newcommand{\Impl}{\ensuremath{\Rightarrow}}
\renewcommand{\phi}{\varphi}
\renewcommand{\theta}{\vartheta}
\renewcommand{\epsilon}{\varepsilon}
\newcommand{\w}{\omega}
\renewcommand{*}{\cdot}
\title{Title}
%\subtitle{Subtitle Here}
\author{author}
\institute{}
\date{}
\begin{document}
\begin{frame}[t]{$ (\N, *)  $ ist nicht-automatisch}
    \begin{block}{}
        Monoide mit Submonoid $ (\N, *) $ sind nicht-automatisch.
    \end{block}
    ang. doch\
    Betrachte 
    \begin{itemize}
        \item $ {|p|L: p\text{ prim} \land |p|_L \leq n} = {a_0 <{llex} ... <{llex} a{r_{n-1}}}$\
        \item $ F_n = { a_0^{\beta_0} * ... * a_{r_{n-1}}^{\beta_{r_{n-1}}}: 0 \leq \beta_i < 2^n} $.
    \end{itemize}
    abschätzen mit s.o.:\ 
    Einzelne Faktoren: $ |a_i^{\beta_i}|L \textcolor{red}{\leq} |a_i|_L + p{*} \lceil log(\beta_i)\rceil \leq n + p_{*} \lceil log(\beta_i)\rceil \leq n(1+p_{*})$. \
    Konkretes Produkt: $ | a_0^{\beta_0} * ... * a_{r_{n-1}}^{\beta_{r_{n-1}}}|L \leq n(1+p{*}) + p_{*} \lceil log(r_n)\rceil $\
\end{frame}
\end{document}

Answer 1

Maybe a tabular is sufficient?

    Betrachte
    \begin{tabular}[t]{@{\textbullet\ }l}
      $ \{|p|_L: p\text{ prim} \land |p|_L \leq n\} = \{a_0 <_{llex} ... <_{llex} a_{r_{n-1}}\}$\\
      $ F_n = \{ a_0^{\beta_0} \* ... \* a_{r_{n-1}}^{\beta_{r_{n-1}}}: 0 \leq \beta_i < 2^n\} $.
    \end{tabular}
abschätzen mit s.o.:\\