representation theory, the stablemodulecategory is a category in which projectives are "factored out." Let R be a ring. For two modules M and N over R, define...
R-modules. On the other hand, the category of pointed topological spaces and the category of pointed simplicial sets are not stable model categories. Any...
triangles". Prominent examples are the derived category of an abelian category, as well as the stable homotopy category. The exact triangles generalize the short...
right) module spectra is stable; hence, it can be considered as either analog or generalization of the derived category of modules over a ring. Lurie defines...
prototypical example of an abelian category is the category of abelian groups, Ab. Abelian categories are very stablecategories; for example they are regular...
Enertis provide services in solar module quality assurance."The implementation of consistent traceable and stable manufacturing processes becomes mandatory...
abelian category, a full subcategory of the category of O X {\displaystyle {\mathcal {O}}_{X}} -modules. (Analogously, the category of coherent modules over...
The Apollo Lunar Module (LM /ˈlɛm/), originally designated the Lunar Excursion Module (LEM), was the lunar lander spacecraft that was flown between lunar...
free module is a module that has a basis, that is, a generating set consisting of linearly independent elements. Every vector space is a free module, but...
Groups, Rings, Modules, Dover Books on Mathematics, Dover Publications, pp. 86–87, ISBN 9780486490823. Segal, G. B. (1971), "Equivariant stable homotopy theory"...
a model category structure, such as the category of simplicial sets. Another model category is the category of chain complexes of R-modules for a commutative...
flight of the full Apollo spacecraft: the command and service module (CSM) with the Lunar Module (LM). The mission was flown to qualify the LM for lunar orbit...
single-parameter persistence module M {\displaystyle M} is a functor M : T → V e c K {\displaystyle M:T\to \mathbf {Vec} _{K}} from the poset category of T {\displaystyle...
of triangulated categories or functors between them, for example stable homotopy category can be shown not to arise from a dg category in this way. However...
Given any group G, (G, ∅) is trivially a group with operators Given a module M over a ring R, R acts by scalar multiplication on the underlying abelian...
distance is the terminal object in a poset category of stable metrics on multidimensional persistence modules in a prime field. Sheaves, a central concept...
electricity generation and as photosensors. A photovoltaic system employs solar modules, each comprising a number of solar cells, which generate electrical power...
award from Automation World in the SCADA and Information management categories. Module Marketplace is an online store, similar in concept to: the iTunes...
program that was installed on board each Apollo command module (CM) and Apollo Lunar Module (LM). The AGC provided computation and electronic interfaces...
to add building information modeling (BIM) functionality with the Arch Module. As of late 2020, 3D Models searcher of CADENAS called 3DfindIT.com is integrated...
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