Let A= ⊕ _ α ∈ G A_ α A=⊕ α∈ GA α be a commutative ring with unity graded by an
arbitrary grading commutative monoid G, E be a graded A-module and R= A ∝ ER= A∝ E …

Abstract Recently, motivated by Anderson, Dumitrescu's S-finiteness, D. Bennis, M. El Hajoui
(2018) introduced the notion of S-coherent rings, which is the S-version of coherent rings …

Let R=α∈GR_α be a commutative ring with unity graded by an arbitrary grading
commutative monoid G. For each positive integer, the notions of a graded-n-coherent …

Let R be a commutative ring with nonzero identity and Γ (or sometimes G) a commutative
monoid. The concept of coherent rings is one of the most significant notions in homological …

Let R=⊕ α∈ Γ Rα be a ring graded by an arbitrary grading abelian group Γ. We say that R is
a weakly uniformly graded-coherent ring if there is a map ϕ: N→ N such that for every n∈ N …