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Mathematics
João Ziliotto's user avatar
João Ziliotto's user avatar
João Ziliotto's user avatar
João Ziliotto
  • Member for 4 years, 1 month
  • Last seen more than 3 years ago
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0
Let $G$ be a multiplicative group and $\varnothing\neq H\subseteq G$. Show that $H\le G$ iff both $H\circ H\subseteq H$ and $H^{-1}\subseteq H$.
Jun 11, 2020
0
Let $f: X \to Y$ be a function and $A \subseteq Y$ and $B \subseteq Y$. Show that $A \subseteq f^{-1}(f(A))$.
Jun 14, 2020
0
Verify that $\mathbb{Q}[\sqrt[3]2]=\{a+b\sqrt[3]2+c\sqrt[3]2^2\,\mid\, a,b,c \in \mathbb{Q}\}$ is a subfield of $\mathbb{R}$
Sep 4, 2020
0
Irreducible polynomial with degree 2 over $\mathbb{R}$
Nov 9, 2020
-2
Abstract Algebra: Normal Subgroups [closed]
Jun 11, 2020