The quotient category of a morita context
Webbany graded Morita–Takeuchi context via certain modifications of the graded cotensor functors. As a consequence, we show a commutative diagram that establish the relation … 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 …
The quotient category of a morita context
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WebbEnter the email address you signed up with and we'll email you a reset link. Webb20 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 = …
WebbA wide left Morita context is dually defined, that is, in the dual categories A0 and B0. Obviously if one of these natural transformations is invertible, then the context is nothing … 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. …
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 … http://emis.maths.adelaide.edu.au/journals/DMJDMV/vol-11/06.pdf
Webbcategories 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 ...
WebbFör 1 dag sedan · Progress in acute myeloid leukaemia treatment is occurring at an unprecedented pace. The past decade has witnessed an increasingly improved scientific understanding of the underlying biology of acute myeloid leukaemia, leading to … ray woods weeping arizona cypressWebbA Morita context is said to be a Morita equivalence if it has both a left and a right *-inverse. Examples are l(M) and AM). There is another binary operation on Morita contexts (which … raywood ts1-b02WebbThis paper outlines a constructivist framework for understanding the outcomes of the entrepreneurial process. The core thesis of the paper is that, taken alone, neither the … simply u antibacterial foaming hand washWebbThese 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 … simply tyres bellshillWebb4 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 … simply uk exeterWebb14 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 … raywood the penWebb1 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 … simply u eye makeup remover