@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