I am writing a research paper for History of Mathematics and need a quick rundown on these strange words:
(1) Lex (2) Deglex (3) Revlex and (4) Degrelex
In relation to these concepts can someone list (1) to (4) for the polynomial $f = 4xy^2 z + 4yz^2 - 5x^2 + 7x^2 y^2$.