How to denote integer number(ℤ) symbol in LaTeX?

Mathematically, a set of integer numbers are denoted by blackboard-bold() form of “Z”. And the letter “Z” comes from the German word Zahlen(numbers).

Blackboard-bold is a style used to denote various mathematical symbols. For example natural numbers, real numbers, whole numbers, etc.

In latex, the \mathbb command is used to convert a letter to blackboard-bold form, and the latter is passed as an argument in the command.

And this \mathbb command is included in more than one package. For example

amsfonts \mathbb{Z}set of ℤ
amssymb \mathbb{Z}set of ℤ
txfonts \mathbb{Z}set of ℤ
pxfonts \mathbb{Z} → set of ℤ
\documentclass{article}
\usepackage{amsfonts}
\begin{document}
 \[ \mathbb{Z}\subset\mathbb{Q}\]
 \[ \mathbb{Z}=\{\ldots,-2,-1,0,1,2,\ldots\} \]
\end{document}

\[ \mathbb{Z}\subset\mathbb{Q}\]

\[ \mathbb{Z}=\{\ldots,-2,-1,0,1,2,\ldots\} \]

Integer number sets are divided into different parts depending on the positive and negative and those parts are denoted by different symbols.

Positive integer symbol

Positive integer symbols have been identified in different ways by different authors in different books. E.g. +, +, and >.

\documentclass{article}
\usepackage{amsfonts}
\begin{document}
  \[ \mathbb{Z}^{+}=\{1,2,3,\ldots\} \]
  \[ \mathbb{Z}_{+}=\{1,2,3,\ldots\} \]
  \[ \mathbb{Z}^{>}=\{1,2,3,\ldots\} \]
\end{document}

\[ \mathbb{Z}^{+}=\{1,2,3,\ldots\} \]

\[ \mathbb{Z}_{+}=\{1,2,3,\ldots\} \]

\[ \mathbb{Z}^{>}=\{1,2,3,\ldots\} \]

Non-negative integer symbol

The second is the non-negative integer which includes all the positive numbers including zero. And which is denoted by 0+ and symbols.

\documentclass{article}
\usepackage{amsfonts}
\begin{document}
  \[ \mathbb{Z}^{0+}=\{0,1,2,3,\ldots\} \]
  \[ \mathbb{Z}^{\geq } =\{0,1,2,3,\ldots\} \]
\end{document}

\[ \mathbb{Z}^{0+}=\{0,1,2,3,\ldots\} \]

\[ \mathbb{Z}^{\geq } =\{0,1,2,3,\ldots\} \]

Non-zero integer symbol

The third is a non-zero integer denoted by the and* symbols.

\usepackage{amsfonts}

.......

\[ \mathbb{Z}^{*} =\{\dots,-2,-1,1,2,\ldots\} \]

\[ \mathbb{Z}^{*} =\{\dots,-2,-1,1,2,\ldots\} \]
Hopefully, this tutorial has been presented to you in a very simple way. Even after this, if you have any difficulty in understanding, don’t forget to comment. Thank you

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