Like this? (Still doesn't like near where the * is):
USE [TrackIT]
GO
SET ANSI_NULLS ON
GO
SET QUOTED_IDENTIFIER ON
GO
CREATE TRIGGER [dbo].[trUpdateBulkPurchases]
ON [dbo].[tblTransactions]
AFTER UPDATE
AS
BEGIN
UPDATE tblBulkPurchases
SET
PO_Number = i.PO_Number,
Quantity = i.Quantity,
Unit_Price = i.Unit_Price,
Software_Description = i.Software_Description,
PO_Date = i.PO_Date,
PurchaseCostCenter = i.PurchaseCostCenter,
HeatTicketNumber = i.HeatTicketNumber,
PurchaseAccount = i.PurchaseAccount,
Transaction_Date = i.Transaction_Date,
SoftwareShortName = i.SoftwareShortName
FROM INSERTED i
inner join tblBulkPurchases
on tblBulkPurchases.Transaction_Number = i.Transaction_Number
WHERE Transaction_Type = 'Bulk Purchase' *
GO