Let me make sure I understand this line by line and have each right so far...
First, isn't the line "WHERE Transaction_Type = 'From Bulk Assignment'"
correctly referenceing the INSERTED with no additional qualifiers for this line needed?
USE [TrackIT]
GO
CREATE TRIGGER [dbo].[trDecrementBulkPurchases]
ON [dbo].[tblTransactions]
AFTER INSERT
AS
BEGIN
UPDATE [TrackIT].[dbo].[tblBulkPurchases]
SET [Quantity_Remaining] = [Quantity_Remaining] - 1
WHERE Transaction_Type = 'From Bulk Assignment'
AND PO_Number IN (SELECT [PO_Number] FROM [tblBulkPurchases])
END
GO
WHERE Transaction_Type = 'From Bulk Assignment'