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States in generalized probabilistic models: An approach based in algebraic geometry
(De Gruyter, 2019-06)
We present a characterization of states in generalized probabilistic models by appealing to a non-commutative version of geometric probability theory based on algebraic geometry techniques. Our theoretical framework allows ...
Two homological problems on skew PBW extensions arising in non commutative algebraic geometry
(2016-08-11)
Abstract. In this work we study Auslander regularity conditions and the strongly noetherian property for the skew P BW extensions. The Cohen-Macaulay condition is also analyzed. In addition, as application of strongly ...
Interactions between non-commutative algebraic geometry and skew PBW extensions
(2016-08-11)
Abstract. We study some relations and interactions between non-commutative algebraic geometry and the skew PBW extensions. For this we will introduce a new class of noncommutative rings, the semi-graded rings, and for ...