Reference for a fast introduction to the bare minimum of Abstract Algebra

I really like A first course in Abstract Algebra by Fraleigh. He starts by the basics, is very didactic and has nice visualizations. You can get a good grasp on group theory, ring theory and Galois theory. More advanced topics are clearly marked so you can skip them in a first reading.

I could recommend the book with I was introduced to algebra being almost from scratch: Abstract Algebra by Gregory T. Lee. It is a book with less than 300 pages and in the preface the author talks about what he considers to be the "basic" topics. Gallian's Algebra book is more extensive, but I think you can take it for specific queries and references.

Identify the boundary of $\mathbb{Q}$ in the discrete metric space $\mathbb{R}$

Description of the function graph

Is the following relation on disjoint subsets of [n] transitive?

Power of signal $x(t) = 2\operatorname{rect}(\sin(2\pi t))$

Least natural $n$ such that $\,n \bmod 4\, =\, 3 + (n \bmod 34)$ [duplicate]

Verify the limit of this succession

Find $\displaystyle\lim_{x \rightarrow 0} \frac{\tan x+\tan 2 x+\ldots+\tan n x}{\operatorname{arctg} x}$ [closed]

How to read this formula for win chance probability?

Justifying existence of dependent variables $X,Y$ with $P(X = x_i \cap Y = y_j) = \delta_{ij}p_i$

What's the measure of the segment $PD$ in the pentagon below?

$ (1*...*1)(n) =\# \{(m_1,...,m_k)\in (\mathbb{N}\setminus \{0\})^k : m_1...m_k = n\} $

Positivity of the weak * limit in $L^{\infty}$. [closed]