On Half-Way AZ-Style Identities

Abstract

The Ahlswede-Zhang identity is an elegant sharpening of the famous LYM-inequality. Recently, we have found a parametrised identity which implies the AZ identity and characterizes deficiencies of other inequalities in combinatorics. In this paper, we show identities of half-way extraction from AZ-style identities. These identities aim to characterize more clearly terms participating in AZ identities or LYM-style inequalities.