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 categor...

Alexander duality is made into a functor which extends the notion for monomial ideals to any finitely generated N-graded module. The functors associated with Alexander duality provide a duality on the level of free and injective resolutions, and numerous Bass and Betti number relations result as corollaries. A minimal injective resolution of a module M is equivalent to the injective resolution ...

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