Replicating from master to slaves and from slaves to master

Question

I have a master and multiple slave machines. All SQL operations on the master node should be sent to the slave nodes. But the tables on the slave nodes may also be written to locally. These local changes on the slave node should be reflected to the master node.

For example let's say I have a master machine, lets call it "M", and two slave machines lets call them "A" and "B"

All these machines have a table named test_table with a column named "id".

I insert data to the test_table on M machine.

(M)test_table
   |id|
   |1 |

(A)test_table
   |id|

(B)test_table
   |id|

now this change is reflected to the slaves:

(M)test_table
   |id|
   |1 |

(A)test_table
   |id|
   |1 |

(B)test_table
   |id|
   |1 |

Now on slave A, I make a local change.

(M)test_table
   |id|
   |1 |

(A)test_table
   |id|
   |2 |

(B)test_table
   |id|
   |1 |

Now this change is reflected to the master server:

(M)test_table
   |id|
   |2 |

(A)test_table
   |id|
   |2 |

(B)test_table
   |id|
   |1 |

And then master server replicates this change to the slaves:

(M)test_table
   |id|
   |2 |

(A)test_table
   |id|
   |2 |

(B)test_table
   |id|
   |2 |

What is this kind of replication named? And how can I achieve this on postgresql?