Applications of $\bigcap$-large pseudo N-injective acts in quasi-Frobenius monoid theory and its relationship with some classes of injectivity

The aim of this paper is to review thoroughly the applications ∩ -large pseudo N-injective acts in quasi-Frobenius monoid theory, and therefore, relationship with some class injectivity studied. Applications properties injective theory are proven. Also, it’s proved that subsequent parity, every union (direct sum) two a act if only under Noetherian condition for right S. Additionally, we category strongly S-acts going be egalitarian projective conditions. connections between quasi investigated.