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In this chapter we shall study objects that play roles in commutative algebra and algebraic geometry analogous to those of the tangent and cotangent bundles in the geometry of manifolds.
David Eisenbud, Eisenbud David
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Standard bases for local rings of branches and their modules of differentials
This paper presents an effective method for computing Standard bases for the local ring of an algebroid branch and for its module of Kähler differentials.
Abramo Hefez, M E Hernandes
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A non-commutative differential module approach to Alexander modules
The theory of R. Crowell on derived modules is approached within the theory of non-commutative differential modules. We also seek analogies to the theory of cotangent complex from differentials in the commutative ring setting.
Aristides Kontogeorgis
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Differential Spatial Modulation
IEEE Transactions on Vehicular Technology, 2014Spatial modulation (SM) is a newly emerging multiple-input–multiple-output technique that activates only a single antenna for transmission at any time instant and uses the index of the active antenna as an additional information-carrying mechanism. However, by its nature, SM decoding is coherent in that channel state information (CSI) is required at ...
Yuyang Bian +5 more
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