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
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