The key thought, for general disqualifications or for pigul, is that of the person performing the service, not that of the owner of the korban: Zevachim 46b, 47a
How we know that one must process a korban with intent for the proper type of korban: Zevachim 4a-5b
How we know that one must process a korban with the correct owner in mind: Zevachim 4a-b
Whether the intent of the kohen in the beginning or end of the service is what matters: Pesachim 59b-60a, 63a; Zevachim 13a
During which services do we say that intent for the wrong type of korban disqualifies the korban: Zevachim 4a-b, 13a, 15a-b
During which services do we say that intent for the wrong owner disqualifies the korban: Zevachim 10a; Rashi Zevachim 4a "v'yeshno b'daled avodot"
Distinguishing between a thought of slaughtering for the wrong owner and a thought of atoning, or fulfilling an obligation, for the wrong owner: Zevachim 10a
Might a korban be disqualified for having the wrong owner in mind if the original owner died and his heir is bringing the korban: Zevachim 4a-b
Regarding intent for the right owner and korban-type, as well as regarding pigul, do we assume that the thought employed in the start of the service is what continued through the end; and what happens if he ceased to express it, and if he then expressed it anew in a still-later service, and if he expressed it in three earlier services but not in the fourth: Zevachim 2b, 41b-42b
Service which is done with the intent of practicing a later service with the incorrect korban in mind: Pesachim 60a; Zevachim 9b-10a
Intent to bring a korban which is of greater or lesser holiness than the korban one is actually bringing: Zevachim 2a, 11b
How we deal with a korban which was brought with non-specific intent: Zevachim 2b
Disposal of a korban which had been processed with improper intent
Most such korbanot may be processed normally, but they do not fulfill the owner's obligation to bring them: Zevachim 2a, 4b-5a
What happens if one processes a korban with improper intent, and then continues further steps with that korban with improper intent: Zevachim 2a-b, 7b, 13a