共查询到20条相似文献,搜索用时 0 毫秒
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Mathematical Notes - 相似文献
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模糊自动机的强连通性及群自动机 总被引:1,自引:0,他引:1
为了更好地研究模糊自动机的结构和性质,采用代数的方法,在传统的模糊有限状态自动机的基础上,通过定义状态集合为代数群的自动机,讨论了这一类自动机的连通性和正则性,这丰富了模糊自动机理论. 相似文献
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Jerry M. Lodder 《K-Theory》2002,27(4):359-370
For an algebra R over a commutative ring k, a natural homomorphism *: HL*+1(R) HH* (R) from Leibniz to Hochschild homology is constructed that is induced by an antisymmetrization map on the chain level. The map * is surjective when R = gl(A), A an algebra over a characteristic zero field. If f: A B is an algebra homomorophism, the relative groups HL* (gl(f)) are studied, where gl(f): gl(A) gl(B) is the induced map on matrices. Letting HC* denote cyclic homology, if f is surjective with nilpotent kernel, there is a natural surjection HL*+1(gl(f)) HC* (f) in the characteristic zero setting. 相似文献
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基于Furuya构造的一个Cluster-Tilted代数的极小投射双模分解,用组合的方法计算了Cluster-Tilted代数的Hochschild同调空间的维数与基.当基础域的特征为零时,也计算了代数的循环同调群的维数. 相似文献
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Let H be a Hopf algebra and let Ms (H) be the category of allleft H-modules and right H-comodules satisfying appropriatecompatibility relations. An object in Ms (H) will be calleda stable anti-YetterDrinfeld module (over H) or a SAYDmodule, for short. To each M Ms (H) we associate, in a functorialway, a cyclic object Z* (H, M). We show that our constructioncan be used to compute the cyclic homology of the underlyingalgebra structure of H and the relative cyclic homology of H-Galoisextensions. Let K be a Hopf subalgebra of H. For an arbitrary M Ms (K)we define a right H-comodule structure on so that becomes an object in Ms (H). Under some assumptions on K and M we computethe cyclic homology of . As a direct application of this result, we describe the relativecyclic homology of strongly graded algebras. In particular,we calculate the cyclic homology of group algebras and quantumtori. Finally, when H is the enveloping algebra of a Lie algebra g,we construct a spectral sequence that converges to the cyclichomology of H with coefficients in a given SAYD module M. Wealso show that the cyclic homology of almost symmetric algebrasis isomorphic to the cyclic homology of H with coefficientsin a certain SAYD module. 2000 Mathematics Subject Classification16E40 (primary), 16W30 (secondary). 相似文献
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E. Dror 《Israel Journal of Mathematics》1973,15(2):115-129
An analysis of the homotopy type of spaces with the same homology as the sphere S
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(n>1) is given. All such spaces are constructed by means of algebraic “invariants” and a certain homology decomposition tower. 相似文献
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Doklady Mathematics - We calculate homology groups with certain twisted coefficients of configuration spaces of projective spaces. This completes a calculation of rational homology groups of spaces... 相似文献
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Chin-Hong Park 《Journal of Applied Mathematics and Computing》1995,2(2):69-74
In this paper we define small and large(or big) automata. We investigate some algebraic properties associated with them 相似文献
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Clifford A. Reiter 《Complexity》2002,7(3):19-29
Boolean cellular automata may be generalized to fuzzy automata in a consistent manner. Several fuzzy logics are used to create 1‐dimensional automata and also 2‐dimensional automata that generalize the game of life. These generalized automata are investigated and compared to their Boolean counterparts empirically and using rule entropy and repeated input response functions. Fuzzy automata offer new mechanisms for classification of classical automata and can be used for insight into their qualitative behavior. © 2002 Wiley Periodicals, Inc. 相似文献
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R. G. Bukharaev 《Journal of Mathematical Sciences》1980,13(3):359-386
This paper is a survey of the most important results in the theory of probabilistic automata obtained from the start of the development of the theory through 1974. References are given to the basic papers on the topics discussed.Translated from Itogi Nauki i Tekhniki. Teoriya Veroyatnostei, Matematicheskaya Statistika, Teoreticheskaya Kibernetika, Vol. 15, pp. 79–122, 1978. 相似文献
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We consider the extension of the notion of a projective module to that of a projective functor relative to a model set (as in Dold, MacLane, Oberst, 1967). Then taking projective resolutions of functors, we consider the usual associated homology.We show that in some cases, including the classical simplicial homology of topological spaces, the model set can be replaced by a model set having only one element. We show that when the model set consists of a single element the homology modules can be interpreted as values of the Torsion functor. In the case of simplicial homology of topological spaces these Tors will be shown to be analogous to the Tors which occur in group homology. 相似文献
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J. Furtado-Coelho 《Journal of Algebra》1976,40(2):596-609
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Józef H. Przytycki 《代数通讯》2013,41(3):1258-1269
We develop a theory of sets with distributive products (called shelves and multi-shelves) and of their homology. We relate the shelf homology to the rack and quandle homology. 相似文献
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We define a noncommutative analogue of invariant de Rham cohomology. More precisely, for a triple (A, H, M) consisting of a Hopf algebra H, an H-comodule algebra A, an H-module M, and a compatible grouplike element in H, we define the cyclic module of invariant chains on A with coefficients in M and call its cyclic homology the invariant cyclic homology of A with coefficients in M. We also develop a dual theory for coalgebras. Examples include cyclic cohomology of Hopf algebras defined by Connes–Moscovici and its dual theory. We establish various results and computations including one for the quantum group SL(q,2). 相似文献