Graded rings and the Hilbert function
COMPUTING HILBERT-KUNZ FUNCTIONS OF 1-DIMENSIONAL GRADED RINGS
... claimed Hilbert-Kunz ...usual Hilbert function, the Hilbert-Kunz function does not depend on the geometry of the point ...1-dimensional graded rings which are not as nice ...
Hilbert series and applications to graded rings
... on Hilbert series that we ex- pect to be useful in various ...the Hilbert series P (t) in a number of cases of interest for singular surfaces (see Lemma ...
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On Weak Graded Rings
... group graded rings and their modules were deeply studied by Dade in [6] that enriched and extended the concept of the classical stable Clifford ...group graded rings and their modules, see for ...
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On equivalence of graded rings
... In Section 2, we discuss the relation between this new concept and some related concepts given in [1 In Section 3, we give some properties of graded rings and see which of these are pres[r] ...
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On Weak Graded Rings II
... G-weak graded rings are rings graded by a set G of left coset representatives for the left action of a subgroup H of a finite group X ...G-weak graded rings and continue the ...
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m} have the same graded Betti numbers, and hence, the same Hilbert function
... Next, we recall what the current literature says in connection to our problem. In the third section, we try to determine the �rst integer t such that H Y (t) < � t +2 2 � = dim k R t . In Section 4 we examine the ...
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Filtered and graded Procesi extensions of rings
... Communicated by D. Simson Abstract. In this paper, we introduce filtered and graded Procesi extensions of filtered and graded rings as a natural modifi- cation of Procesi extensions of rings. ...
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On the structure theory of graded Burnside rings
... Abstract. Let G denote a finite group and let S be a finite G-set. It is well known that the Burnside ring Ω(G) of G has its elements as the formal differences of isomorphism classes of finite G-sets. In [8], the ...
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On graded classical 2-absorbing submodules of graded modules over graded commutative rings
... a graded R-module. In this paper, we will in- troduce the concept of graded classical 2-absorbing submodules of graded modules over a graded commutative ring as a generalization of ...
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Control subgroups and birational extensions of graded rings
... All of this has prompted us to establish the relation between the concept of control subgroups and the class of graded birational algebras. After introducing the basic notions and definitions in Section 2, we ...
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Seminormal graded rings and weakly normal projective varieties
... In this paper we investigate the seminormality of reduced graded rings for the purpose of studying the weak normality of projective varieties and the procedure of blowing up a non-weakly[r] ...
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Graded Character Rings, Mackey Functors and Tambara Functors
... of graded character rings: in Section ...representation rings from the point of view of equivariant ...that graded character rings are not Mackey functors, through the example of the ...
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Fano 3-folds, K3 surfaces and graded rings
... U ). The point here is to get away from the algebraic treatment of the equations of S to a more geometric understanding of what they mean; that is, eventually, to replace the appeal to Buchsbaum and Eisenbud’s algebraic ...
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Tropical ideals with Hilbert function two
... Lemma 5.2.1. Let J ∈ I x,y,z tr,2, B be such that J 1 = {x ⊕ z} and let J 0 := J ∩ B [x, y]. Then J 0 is a tropical ideal in I x,y tr,2, B . Proof. By Lemma 2.4.11, J 0 is a tropical ideal in B[x, y]. Since J is ...
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On the mobius function of a pointed graded lattice
... In [12] the poset of pointed integer partition I n • of n was introduced and used for studying pointed set partition lattices. Even though I n • appears as an interval in I n , the global structure of the poset I n • was ...
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An Application of Sinc Sum Function in Hilbert Transformer
... ABSTRACT An application of the sinc sum function in Hilbert transformer (HT) is studied. The expression of the frequency re- sponse of HT is expressed with sinc sum functions. Some properties of ...
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Effect of using angles graded rings on learning jumping shot and free shot skills in basketball
... Researchers attribute the cause of improving to the special exercises are used to increase the accuracy of the technical performance of the shot skill through using assistance tools with a variety of difficulties by ...
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ON THE DEFORMATION OF RINGS AND ALGEBRAS, V: DEFORMATION OF DIFFERENTIAL GRADED ALGEBRAS. Murray Gerstenhaber and Clarence Wilkerson
... Theorem 5. Let A be a DGA over Q. Then H 1 (Der ∗ A) = 0 implies that A is rigid. The analogues of the other results of the preceding sections also hold here for a DGA over Q; the proofs are virtually identical. In the ...
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On a generalization of a Hilbert type integral inequality in the whole plane with a hypergeometric function
... the Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree –2 λ and the best constant factor which involves the hypergeometric ...
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On a Class of Support Vector Kernels based on Frames in Function Hilbert Spaces
... where C is the capacity control parameter. A larger value of C will increase penalisation of errors on the training data but will increase the potential for overfitting. The value of C should be related to the noise ...
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