The reason you mention is one on the list in [Bereishis Rabba 22][1]Bereishis Rabba 22 And Cain spoke to Abel his brother. And it came to pass when they were in the field... " (Gen 4:8) What were they fighting about? They said, "Let's divide up the world." One took the earth and one took the moveable objects. One said "That land that you are standing on is mine!" and the other said "What you are wearing is mine!" One said "Take it off!" and the other said "Fly!" Because of this, "Cain rose up against Abel his brother and slew him. Rabbi Joshua of Sikhnin in the name of Rabbi Levi said: they each took earth and each took moveable objects. And what were they fighting about? One said, "The Temple will be built in my territory!" and the other said "The Temple will be built in my territory!" as it is written "when they were in the field"-- and "field" can refer only to the Temple, hence what is written: "Zion shall be threshed as a field" (Micah 3). And because of this, "Cain rose up against Abel his brother." Judah bar Ami said: they were fighting about Primordial Eve. Rabbi Eivo said: Primordial Eve had already died. And what were they fighting about? Rabbi Huna said: A[n extra]‡ twin girl was born along with Abel. One said, "I will take her, because I am the firstborn." And the other said, "I will take her because she was born with me."
‡Safaria forgot to put this into their translation. [1]: http://www.sefaria.org/Bereishit_Rabbah.22
