You have 4 tables For transactional replication (push subscription) at the subscriber's side:

 - [MSreplication_objects][1] 

> contains one row for each object that is associated with replication
> in the Subscriber database

 - [MSreplication_subscriptions][2]

> contains one row of replication information for each Distribution
> Agent servicing the local Subscriber database

 - [MSsubscription_agents][3]

> is used by Distribution Agent and triggers of updateable subscriptions
> to track subscription properties

- [MSsnapshotdeliveryprogress][4]

> is used to track files that have been successfully delivered to the
> Subscriber when a snapshot is being applied


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you can use this columns to monitor the status for your replication at the subscriber's side

    SELECT login_time,
    	   last_sync_status,
    	   last_sync_summary,
    	   last_sync_time,
    	   spid 
    FROM dbo.MSsubscription_agents


  [1]: https://learn.microsoft.com/en-us/sql/relational-databases/system-tables/msreplication-objects-transact-sql "MSreplication_objects"
  [2]: https://learn.microsoft.com/en-us/sql/relational-databases/system-tables/msreplication-subscriptions-transact-sql/ "MSreplication_subscriptions"
  [3]: http://learn.microsoft.com/en-us/sql/relational-databases/system-tables/mssubscription-agents-transact-sql
  [4]: http://learn.microsoft.com/en-us/sql/relational-databases/system-tables/mssnapshotdeliveryprogress-transact-sql