משנה על גיטין 5:1

For what reason may he not bring them? Because it is said, “The first-fruits of your land” (Exodus 23:19) until all of their growth is on your land. Sharecroppers, leasers, or occupiers of confiscated property (sikarikon), or a robber does not bring them for the same reason, because it says, “The first-fruits of your land.”

If a man bought [grain from an am haaretz] to be used for seed or for animal [feed], flour for hides, oil for a lamp, or oil for greasing utensils, it is exempt from [the rules of] demai. [Produce grown] beyond Cheziv and north is exempt from [the rules of] demai. The hallah of an am haaretz, produce mixed with terumah, produce bought with second tithe money, and the leftovers of minhah offerings are exempt from [the rules of] demai. Oil spiced [with spices from an am haaretz]: Bet Shammai makes it liable [to the rules of demai]. But Bet Hillel exempts it.

Rabbi Eliezer ben Yaakov says: a woman who is a daughter of a convert may not marry a priest unless her mother was herself an Israelite. [This law applies equally to the offspring] whether of proselytes or freed slaves, even to ten generations, unless their mother is an Israelite. A guardian, an agent, a slave, a woman, one of doubtful sex, or a hermaphrodite bring the bikkurim, but do not recite, since they cannot say: “Which you, O Lord, have given to me” (Deuteronomy 26:10).