About graded fields
نویسندگان
چکیده
منابع مشابه
Graded Transcendental Extensions of Graded Fields
We study transcendency properties for graded field extension and give an application to valued field extensions. 1. Introduction. An important tool to study rings with valuation is the so-called associated graded ring construction: to a valuation ring R, we can associate a ring gr(R) graded by the valuation group. This ring is often easier to study, and one tries to lift properties back from gr...
متن کاملSeparability of graded fields
In this paper, we study separability of graded field extensions. In particular, without restriction to torsion free of the grade group, we show that some separability results of graded field extensions given in [7] hold. On the other hand, the separability notions defined in [1] do not cover many situations, for example group algebras. We show that these notions are simple cases of separability...
متن کاملReasoning about CTL∗ with Graded Path Modalities
Graded path modalities count the number of paths satisfying a property, and generalize the existential (E) and universal (A) path modalities of CTL∗. The resulting logic is denoted GCTL∗, and is a very powerful logic since (as we show) it is equivalent to monadic path logic. We settle the complexity of the satisfiability problem of GCTL∗, i.e., 2EXPTIME-COMPLETE, and the complexity of the model...
متن کاملA Theorem about Random Fields
Averintsev [1] and Spitzer [2] proved that the class of Markov fields is identical to the class of Gibbs ensembles when the domain is a finite subset of the cubic lattice and each site may be in either of two given states. Hammersley and Clifford [3] proved the same result for the more general case when the domain is the set of sites of an arbitrary finite graph and the number of possible state...
متن کاملDifferential Graded Cohomology and Lie Algebras of Holomorphic Vector Fields
The continuous cohomology of Lie algebras of C-vector fields has proven to be a subject of great geometrical interest: One of its most famous applications is the construction of the Virasoro algebra as the universal central extension of the Lie algebra of vector fields on the circle. So there is the natural problem of calculating the continuous cohomology of the Lie algebra of holomorphic vecto...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1981
ISSN: 1385-7258
DOI: 10.1016/1385-7258(81)90039-1