共查询到20条相似文献,搜索用时 187 毫秒
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本文研究了环Fp+vFp上互补对偶(1-2v)-常循环码.利用环Fp+vFp上(1-2v)-常循环码的分解式C=vC1-v ⊕(1-v)Cv,得到了环Fp+vFp上互补对偶(1-2v)-常循环码的生成多项式.然后借助从Fp+vFp到Fp2的Gray映射,证明了环Fp+vFp上互补对偶(1-2v)-常循环码的Gray像是Fp的互补对偶循环码. 相似文献
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本文研究了p-可除kG-模,这是一类由群阶的素数因子来控制的模类.利用Heller算子,证明了n次Heller算子置换非投射不可分解p-可除kG-模的同类;利用模的诱导和限制方法,证明了若H是G的强p-嵌入子群,则Green对应建立了不可分解p-可除kG-模的同构类与不可分解p-可除kH-模的同构类之间的一一对应.推广了不可分解相对投射kG-模上的Green对应. 相似文献
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主要探讨了秩大于或者等于p-1的可除阿贝尔p-群的p-自同构群,并且得到这些p-自同构如何作用在该可除阿贝尔p-群上.这些结论有助于进一步理解 ?ernikov p-群的结构. 相似文献
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David Pauksztello 《代数通讯》2013,41(2):386-394
The idea of a co-t-structure is almost ‘dual’ to that of a t-structure, but with some important differences. This note establishes co-t-structure analogues of Beligiannis and Reiten's corresponding results on compactly generated t-structures. 相似文献
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By using the stable t-structure induced by an adjoint pair, we extend several results concerning recollements to upper (resp. lower) recollements. These include the fundamental results of Parshall and Scott on comparisons of recollements, Wiedemann’s result on the global dimension and Happel’s result on the finitistic dimension, occurring in a recollement (D b (A′),D b (A),D b (A″)) of bounded derived categories of Artin algebras. We introduce and describe a triangle expansion of a triangulated category and illustrate it by examples. 相似文献
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《代数通讯》2013,41(12):6093-6114
Abstract Let A be a right coherent associative ring with unit. We introduce the notion of coendofinite complex and we associate to such a complex a t-structure in D b (mod A). We give conditions for the heart of that t-structure to be a module category. We also give some applications in connection with derived equivalent rings and tilting theory. In particular for a tilting module over a finite dimensional k-algebra, we get a reformulation of Brenner-Butler's theorem in terms of t-structures. 相似文献
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In the preceding part (I) of this paper, we showed that for any torsion pair (i.e., t-structure without the shift-closedness) in a triangulated category, there is an associated abelian category, which we call
the heart. Two extremal cases of torsion pairs are t-structures and cluster tilting subcategories. If the torsion pair comes from a t-structure, then its heart is nothing other than the heart of this t-structure. In this case, as is well known, by composing certain adjoint functors, we obtain a homological functor from the
triangulated category to the heart. If the torsion pair comes from a cluster tilting subcategory, then its heart coincides
with the quotient category of the triangulated category by this subcategory. In this case, the quotient functor becomes homological.
In this paper, we unify these two constructions, to obtain a homological functor from the triangulated category, to the heart
of any torsion pair. 相似文献
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We characterize t-structures in stable ∞-categories as suitable quasicategorical factorization systems. More precisely we show that a t-structure ?? on a stable ∞-category C is equivalent to a normal torsion theory ?? on C, i.e. to a factorization system ?? = (??, ?) where both classes satisfy the 3-for-2 cancellation property, and a certain compatibility with pullbacks/pushouts. 相似文献
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Amnon Neeman 《K-Theory》2001,22(1-2):1-144
Let
be a triangulated category, and assume it admits at least one model. In this article, we define a K-theory for
. The main theorem is that, given any bounded i-structure on
, the K-theory of the heart agrees with the K-theory of
. An immediate consequence tells us that, if two Abelian categories occur as hearts of a triangulated category for two different t-structures, then their K-theories must be isomorphic.The proof was also sketched in previous articles in this series. The virtue of this article is in the careful detail in which it is written down. 相似文献
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David Pauksztello 《Central European Journal of Mathematics》2008,6(1):25-42
In the work of Hoshino, Kato and Miyachi, [11], the authors look at t-structures induced by a compact object, , of a triangulated category, , which is rigid in the sense of Iyama and Yoshino, [12]. Hoshino, Kato and Miyachi show that such an object yields a non-degenerate
t-structure on whose heart is equivalent to Mod(End()op). Rigid objects in a triangulated category can the thought of as behaving like chain differential graded algebras (DGAs).
Analogously, looking at objects which behave like cochain DGAs naturally gives the dual notion of a corigid object. Here,
we see that a compact corigid object, , of a triangulated category, , induces a structure similar to a t-structure which we shall call a co-t-structure. We also show that the coheart of this non-degenerate co-t-structure is equivalent to Mod(End()op), and hence an abelian subcategory of .
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Francisco Martín Cabrera 《Monatshefte für Mathematik》2006,148(1):29-50
We study SU(3)-structures induced on orientable hypersurfaces of seven-dimensional manifolds with G2-structure. Taking Gray-Hervella types for both structures into account, we relate the type of SU(3)-structure and the type of G2-structure with the shape tensor of the hypersurface. Additionally, we show how to compute the intrinsic SU(3)-torsion and the intrinsic G2-torsion by means of the exterior algebra. 相似文献