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• W2045129436 abstract "For a quiver Q, a k-algebra A, and an additive full subcategory &#x1d4b3; of A-mod, the monomorphism category Mon(Q, &#x1d4b3;) is introduced. The main result says that if T is an A-module such that there is an exact sequence 0 → T m  → … → T 0 → D(A A ) → 0 with each T i  ∈ add(T), then Mon(Q, ⊥ T) =⊥(kQ ⊗ k T); and if T is cotilting, then kQ ⊗ k T is a unique cotilting Λ-module, up to multiplicities of indecomposable direct summands, such that Mon(Q, ⊥ T) =⊥(kQ ⊗ k T). As applications, the category of the Gorenstein-projective (kQ ⊗ k A)-modules is characterized as Mon(Q, &#x1d4a2;&#x1d4ab;(A)) if A is Gorenstein; the contravariantly finiteness of Mon(Q, &#x1d4b3;) can be described; and a sufficient and necessary condition for Mon(Q, A) being of finite type is given." @default.
• W2045129436 created "2016-06-24" @default.
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• W2045129436 date "2014-04-23" @default.
• W2045129436 modified "2023-09-23" @default.
• W2045129436 title "Monomorphism Operator and Perpendicular Operator" @default.
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• W2045129436 doi "https://doi.org/10.1080/00927872.2013.790975" @default.
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