@iongmat, very interesting sentence indeed.
A mixture of poems and short fiction, Jean Toomer's Cane has been called one of the three best novels ever written by a Black American-the others being Richard Wright's Native Son and Ralph Ellison's Invisible Man.
This is a correct sentence. It is from GMAT Prep. Here "being" does not directly play one of the two commonly played roles that I have outlined above. Its role in this sentence actually derives from its use as continuous verb tense of the verb - be. Here it forms verb-ing modifier for the noun - "the others".
If I were to write this modifier as a clause, I would write it as hemant_rajput wrote:
The others were Richard Wright's Native Son and...
But when I need to convert this into a modifier form, I would write it as in the official sentence above:
the others being Richard Wright's Native Son and...
Given this discussion, it would be best to try out this GMAT Prep question. It is a nice question and exemplifies the importance of following a structured approach to solving SC questions.
Official Question
A mixture of poems and short fiction, Jean Toomer's Cane has been called one of the three best novels ever written by Black Americans-the others being Richard Wright, author of Native Son, and Ralph Ellison, author of Invisible Man.
A. Black Americans-the others being Richard Wright, author of Native Son, and Ralph Ellison, author of Invisible Man
B. Black Americans-including Native Son by Richard Wright and Invisible Man by Ralph Ellison
C. a Black American-including Richard Wright, author of Native Son, and Ralph Ellison, author of Invisible Man
D. a Black American-the others being Richard Wright, author of Native Son, and Ralph Ellison, author of Invisible Man
E. a Black American-the others being Richard Wright's Native Son and Ralph Ellison's Invisible Man