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The quotient category of a morita context

Webb28 feb. 2024 · (iii) The Morita context (A,B,P,Q,f,g)(A,B,P,Q,f,g)is a Morita equivalence iff PPis both projective and a generator. Then ⊗P:modA→modB\otimes_P : mod_A\to … WebbWe show that every Morita-Takeuchi context, connecting two coalgebras C and D, leads to an equivalence between quotient categories of the comodule categories C M and D M. …

The Morita-Takeuchi Theory for Quotient Categories

WebbEvery Morita context between rings R and S leads to an eq.uivalence between two quotient categories of the module categories mod R and mod S. As consequences, one obtains a … Webb22 nov. 2013 · The quotient category of a Morita context. Muller, BJ. The global homological dimension of semi-trivial extensions of rings. Palmer, I. Functorial finite subcategories over triangular matrix rings. Smalø, S. You’re reading a free preview. Subscribe to read the entire article. how to check indexes https://carlsonhamer.com

Galois coverings, Morita Equivalence and Smash Extensions of …

Webb14 feb. 2024 · To address the challenges of incomplete knowledge representation, independent decision ranges, and insufficient causal decisions in bogie welding decisions, this paper proposes a hybrid decision-making method and develops a corresponding intelligent system. The collaborative case, rule, and knowledge graph approach is used … Webb18 feb. 2024 · For H a Hopf quasigroup and C, a left quasi H-comodule coalgebra, we show that the smash coproduct C⋊H (as a symmetry of smash product) is linked to … WebbIn mathematics, a Lie groupoid is a groupoid where the set of objects and the set of morphisms are both manifolds, all the category operations (source and target, composition, identity-assigning map and inversion) are smooth, and the source and target operations ,: are submersions.. A Lie groupoid can thus be thought of as a "many-object … how to check index in oracle table

Rings of quotients and Morita contexts - ScienceDirect

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The quotient category of a morita context

Morita context in nLab - ncatlab.org

WebbIn this paper, we offer a graded equivalence between the quotient categories defined by any graded Morita–Takeuchi context via certain modifications of the graded cotensor … WebbWe introduce a purely categorical notion of Morita context between abelian categories, which extends ... induce an equivalence between appropriate quotient categories of R …

The quotient category of a morita context

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Webb1 juni 2006 · In this paper, we offer a graded equivalence between the quotient categories defined by any graded Morita–Takeuchi context via certain modifications of the graded … WebbEnter the email address you signed up with and we'll email you a reset link.

Webb1 mars 1974 · Every Morita context between rings R and S leads to an equivalence between two quotient categories of the module categories mod R and mod S. As … WebbIn this paper, we offer a graded equivalence between the quotient categories defined by any graded Morita–Takeuchi context via certain modifications of the graded cotensor …

Webb8 dec. 2024 · Abstract: We consider the ordinary category Span(C) of (isomorphism classes of) spans of morphisms in a category C with finite limits as needed, composed … Webb11 apr. 2024 · Patients with cancer may have potentially curable disease or may live for many years despite incurable cancer. However, these guidelines specifically relate to …

Webb4 jan. 2003 · We show that every Morita-Takeuchi context, connecting two coalgebras C and D, leads to an equivalence between quotient categories of the comodule categories …

WebbThe Quotient Category of a Graded Morita–Takeuchi Context (PDF) The Quotient Category of a Graded Morita–Takeuchi Context Florencio Iglesias - Academia.edu Academia.edu … how to check index in sql serverWebbThese categories have been considered with different notations in several papers, e.g. [6-81. but mainly as categories associated to the trace ideals of a Morita context between … how to check index on table in hanaWebbcategories is equivalent to the existence of a Morita context with certain properties. From the results of [7] it follows that two idempotent rings are Morita equivalent if and only if they are connected by a unitary surjective Morita context. In [11] we showed that these two conditions are also equivalent to the fact that the two rings have a ... how to check index journalWebb1 nov. 2024 · In conclusion, in the context of a confirmed growing attitude in prescribing ICI in cancer patients with poor life expectancy, our study suggests that the use of a score … how to check index on table in sql serverWebband sufficient condition for a Morita context containing two semigroups S and T to induce an equivalence between the category of closed right S-acts and the category of closed … how to check index rebuild status oracleWebb20 nov. 2024 · A basic tool in the usual presentation of the Morita theorems is the correspondence theorem for projective modules. Let R M be a left R-module and B = … how to check index size in sql serverWebb2 apr. 2024 · Results demonstrated high COL19A1 expression to be a novel biomarker for successful immunotherapy (COL19A1 high, odds ratio [95% confidence interval]: 0.31 … how to check index on table in sql