In SQL Server you can use SELECT alias = expression syntax to define the column alias (do not confuse with SELECT @variable = expression variable assignment syntax).
In PostgreSQL you have to use standard SELECT expression [AS] alias syntax to define the column aliases.
SQL Server:
-- a and b are aliases SELECT a = LEN('abc'), b = 'abc'; # a b # -------- # 3 abc
PostgreSQL:
-- SQL Server syntax is not supported SELECT a = LEN('abc'), b = 'abc'; # ERROR: column "a" does not exist -- a and b are aliases using SQL standard syntax SELECT LENGTH('abc') AS a, 'abc' b; # a b # -------- # 3 abc
For more information, see SQL Server to PostgreSQL Migration.