Paper rock scissors game, probably something is missing from my code

I started learning to program in java two/three days ago and decided to try and program a simple rock paper scissors game.
it wont run and i think that i either didn't include some important code or that this whole thing is just garbage.
thanks for help!

    public class Game {
	public static void main(String[] args) {
		String personPlay; //User's play; either R, P or S
		String computerPlay = ""; //Computer's play, R, P or S as well
		int computerInt; //randomly generated number to etermine computers play
		String response;
		
		Scanner scan = new Scanner(System.in);
		Random generator = new Random();
		
		System.out.prinln("Let's play Rock, Paper, Scissors!\n" + "Enter a move: \n" + "R = Rock, P = Paper, S = Scissors");
		
		System.out.println();
		
		computerInt = generator.nextInt(
		
		
		if (personPlay.equals(computerPlay))
			System.out.println("It's a tie!");
		else if (personPlay.equals("R"))
			if (computerPlay.equals("S"))
				System.out.println("Rock crushes Scissors! You win!");
	    else if (personPlay.equals("S"))
	        if (computerPlay.equals("P"))
	            System.out.println("Scissors cut Paper! You win!");
	   else if (personPlay.equals("P"))
	        if (computerPlay.equals("R"))
                System.out.println("Paper wraps Rock! You win!");
        else if (personPlay.equals("R"))
            if (computerPlay.equals("P"))
                System.out.println("Paper wraps Rock! You lose!");
         else if (personPlay.equals("P"))
            if (computerPlay.equals("S"))
                System.out.println("Scissors cut Paper! You lose!");
         else if (personPlay.equals("S"))
            if (computerPlay.equals("R"))
                System.out.println("Rock crushes Scissors! You lose!");
        else    System.out.println("Invalid user imput, please try again!");
	}
}

I see a couple of errors in the code that you have shared :

1. In the statement "System.out.prinln("Let's play Rock, Paper, Scissors!\n" + "Enter a move: \n" + "R = Rock, P = Paper, S = Scissors");"
   , it should be System.out.println().You have a spelling-error (missing 't' in 'print')

2. You need to initialize variable 'personPlay' for the code to compile. It is required to initialize local variables as they do not assume a default value.

3. Missing closing bracket for statement :'computerInt = generator.nextInt('.

Fixing these, would let the code compile .
I would suggest using curly braces with each if, else if or else conditions, that would give the code a neat look. Also , there is a long chain of nested if-else conditions which is hard to read and debug(in case of any issue). Try to start with simple conditions and then build your logic in steps , avoiding these many if else conditions.

I believe this answers your question:

import java.util.Scanner;
public class Game {
public static void main(String[] args) {
String personPlay; //User's play; either R, P or S
String computerPlay = ""; //Computer's play, R, P or S as well
String response;
Scanner scan = new Scanner(System.in);
System.out.println("Let's play Rock, Paper, Scissors!\n" + "Enter a move: \n" + "R = Rock, P = Paper, S = Scissors");
System.out.print("Player > ");
personPlay = scan.nextLine();
System.out.print("Computer > ");
String options [] = {"R","P","S"};
computerPlay = options[(int)(Math.random()*3)];
System.out.println(computerPlay);
if (personPlay.equals(computerPlay)) {
System.out.println("It's a tie!");
}
else if (personPlay.equals("R")) {
if (computerPlay.equals("P")) {
System.out.println("Paper wraps Rock! You lose!");
}
else if (computerPlay.equals("S")) {
System.out.println("Rock crushes Scissors! You win!");
}
}
else if (personPlay.equals("P")) {
if (computerPlay.equals("R")) { 
System.out.println("Paper wraps Rock! You win!");
}
else if (computerPlay.equals("S")) {
System.out.println("Scissors cut Paper! You lose!");
}
}
else if (personPlay.equals("S")) {
if (computerPlay.equals("R")) {
System.out.println("Rock crushes Scissors! You lose!");
}
else if (computerPlay.equals("P")) {
System.out.println("Scissors cut Paper! You win!");
}
}
else { System.out.println("Invalid user imput, please try again!"); }
}
}

There were a few problems with your code, most of them already pointed by other users. I'll only add that the way you wrote those if/else statements, it would never enter some of them.
I don't have much time right now but if you still have any doubts after seeing this answer leave a comment and I'll answer ASAP.