“…We intend to define product of nondeterministic matrices. The concept was introduced in (Rescher, 1962) under the name quasi-truth functional constructors and later on developed in (Avron and Lev, 2005;Avron and Zohar, 2019;Filipe et al, 2022). It seems worthwhile to investigate preservation of other meta properties by meet-combination, namely decidability, algebraizability, protoalgebraicity and amalgamation (see Blok and Pigozzi, 1989;Czelakowski, 1982Czelakowski, , 2001.…”