is there any way to understand (using zfs and zpool commads) to whcih pool is a ZFS filesystem assigned?
Thanks in advance
The part before the first slash in a ZFS filesystem's name is the name of the zpool:
$ zfs list
NAME USED AVAIL REFER MOUNTPOINT
logstorage 2.00T 585G 27.9K none
logstorage/archive 1.99T 585G 1.99T /usr/local/var/log/archive
logstorage/current 5.87G 585G 5.87G /usr/local/var/log/current
logstorage/snmptraps 76.7M 585G 76.7M /usr/local/var/log/snmptraps
logstorage/test 5.71G 585G 5.71G /usr/local/var/log/syslog-test
$ zpool list
NAME SIZE ALLOC FREE CAP HEALTH ALTROOT
logstorage 3.08T 2.34T 751G 76% ONLINE -
Is that what you mean?
zfs list
shows you the list like
pool/path used avail refer mounpoint
so the pool part is what you need.