Skip to main content\(\def\R{\mathbb{R}}
\def\C{\mathbb{C}}
\def\Q{\mathbb{Q}}
\def\N{\mathbb{N}}
\def\Z{\mathbb{Z}}
\def\mfa{\mathfrak{a}}
\def\mfb{\mathfrak{b}}
\def\mfc{\mathfrak{c}}
\def\mfp{\mathfrak{p}}
\def\mfq{\mathfrak{q}}
\def\mfm{\mathfrak{m}}
\def\ev{\mathrm{ev}}
\def\Im{\mathrm{Im}}
\def\End{\mathrm{End}}
\def\Aut{\mathrm{Aut}}
\def\Int{\mathrm{Int}}
\def\Hom{\mathrm{Hom}}
\def\Iso{\mathrm{Iso}}
\def\GL{\mathrm{GL}}
\def\ker{\mathrm{ker }}
\def\Span{\mathrm{Span}}
\def\tr{\mathrm{tr}}
\def\Rings{\mathrm{Rings}}
\def\Alg{{F\text{-Alg}}}
\def\Ann{{\rm Ann}}
\newcommand{\unit}{1\!\!1}
\usepackage{tikz}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
Preface Preface
These are companion notes and it is a work in progress. All material covered in these notes is standard and can be found in references listed below.
‘Basic Algebra-I’ by N. Jacobson
‘Abstract Algebra’ by D. Dummit and S. Foote
‘Introduction to Rings And Modules’ by C. Musili
‘Algebra’ by S. Lang
‘Algebra’ by M. Artin
‘A first course in noncommutative rings’ by T. Y. Lam