共查询到20条相似文献,搜索用时 15 毫秒
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Manuel Abad Cecilia Cimadamore José Patricio Díaz Varela Laura Rueda Ana María Suardíaz 《Central European Journal of Mathematics》2005,3(2):215-227
In this paper, the variety of closure n-valued Łukasiewicz algebras, that is, Łukasiewicz algebras of order n endowed with a closure operator, is investigated. The lattice of subvarieties in the particular case in which the open elements
form a three-valued Heyting algebra is obtained. 相似文献
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Zhou Yuye;Cheng Zhi(School of Mathematics and Statistics,Anhui Normal University,Wuhu 241003,China) 相似文献
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It is known that there is a very closed connection between the set of non-isomorphic indecomposable basic Nakayama algebras and the set of admissible sequences.To determine the cardinal number of all nonisomorphic indecomposable basic Nakayama algebras,we describe the cardinal number of the set of all t-length admissible sequences using a new type of integers called quasi-binomial coefficients.Furthermore,we find some intrinsic relations among binomial coefficients and quasi-binomial coefficients. 相似文献
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Hochschild (Co)homology of a Class of Nakayama Algebras 总被引:1,自引:0,他引:1
Yun Ge XU Dan WANG 《数学学报(英文版)》2008,24(7):1097-1106
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Let T be a Hochschild extension algebra of a finite dimensional algebra A over a field K by the standard duality A-bimodule HomK(A, K). In this paper, we determine the ordinary quiver of T if A is a self-injective Nakayama algebra by means of the ?-graded second Hochschild homology group HH2(A) in the sense of Sköldberg. 相似文献
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The varieties of dialgebras (also known as Loday-type algebras) over a given type of algebra have been the subject of multiple recent developments. We provide here a construction of such dialgebra varieties via bimodules over an algebra and a surjective equivariant map. Our construction is equivalent to the KP construction (Kolesnikov–Pozhidaev construction) when departing from the set of linearized identities of the algebra variety. The novel construction simplifies the obtention of the dialgebra equations without forcing a complete linearization of the algebra identities. We illustrate the use of the novel construction providing the dialgebras associated to several varieties of algebras, including those over diverse Lie admissible algebras. We provide some novel explorations on the structure of the dialgebras which are easily articulated through our construction. 相似文献
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Sergio A. Celani 《Central European Journal of Mathematics》2003,1(4):561-572
In this paper we shall give a topological representation for Hilbert algebras that extend the topological representation given
by A. Diego in [4]. For implicative semilattices this representation gives a full duality. We shall also consider the representation
for Boolean ring. 相似文献
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René Marczinzik Martin Rubey Christian Stump 《Journal of Pure and Applied Algebra》2021,225(3):106520
Enomoto showed for finite dimensional algebras that the classification of exact structures on the category of finitely generated projective modules can be reduced to the classification of 2-regular simple modules. In this article, we give a combinatorial classification of 2-regular simple modules for Nakayama algebras and we use this classification to answer several natural questions such as when there is a unique exact structure on the category of finitely generated projective modules for Nakayama algebras. We also classify 1-regular simple modules, quasi-hereditary Nakayama algebras and Nakayama algebras of global dimension at most two. It turns out that most classes are enumerated by well-known combinatorial sequences, such as Fibonacci, Riordan and Narayana numbers. We first obtain interpretations in terms of the Auslander-Reiten quiver of the algebra using homological algebra, and then apply suitable bijections to relate these to combinatorial statistics on Dyck paths. 相似文献
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Pierre B. A. Lecomte 《Annals of Global Analysis and Geometry》1994,12(1):183-192
A simple construction associates to any linear mapping a short exact sequence of graded Lie algebras. The sequence associated to the de Rham differential of an arbitrary smooth manifold is never split. Combined with a sort of algebraic Chern-Weil homomorphism adapted from [1] to the graded case, this leads to a family of cohomology classes of the Nijenhuis-Richardson algebra of the space of functions of the manifold. Some of these characteristic classes of degree 2 are computed. They are the classes constructed by hand in [2] and used in the theory of star-products. 相似文献
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Zhaoyong Huang 《中国科学A辑(英文版)》1999,42(9):945-956
The notions of quasik-Gorenstein algebras and W
t
-approximation representations are introduced. The existence and uniqueness (up to projective equivalences) of W
t
-approximation representations over quasi k-Gorenstein algebras are established. Some applications of W
t
-approximation representations to homologically finite subcategories are given. 相似文献
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We calculate the homology and the cycles in tensor products of algebras of symmetric function over ℤ2 相似文献
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Rafał Bocian Thorsten Holm Andrzej Skowroński 《Central European Journal of Mathematics》2004,2(1):67-75
Auslander’s representation dimension measures how far a finite dimensional algebra is away from being of finite representation
type. In [1], M. Auslander proved that a finite dimensional algebra A is of finite representation type if and only if the representation dimension of A is at most 2. Recently, R. Rouquier proved that there are finite dimensional algebras of an arbitrarily large finite representation
dimension. One of the exciting open problems is to show that all finite dimensional algebras of tame representation type have
representation dimension at most 3. We prove that this is true for all domestic weakly symmetric algebras over algebraically
closed fields having simply connected Galois coverings. 相似文献
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Alexander N. Rudy 《Central European Journal of Mathematics》2005,3(4):606-613
The paper deals with the real classical Lie algebras and their finite dimensional irreducible representations. Signature formulae
for Hermitian forms invariant relative to these representations are considered. It is possible to associate with the irreducible
representation a Hurwitz matrix of special kind. So the calculation of the signatures is reduced to the calculation of Hurwitz
determinants. Hence it is possible to use the Routh algorithm for the calculation. 相似文献
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Let R be a commutative ring with identity. We will say that an R-module M satisfies the weak Nakayama property, if IM=M, where I is an ideal of R, implies that for any x∈M there exists a∈I such that (a−1)x=0. In this paper, we will study modules satisfying the weak Nakayama property. It is proved that if R is a local ring, then R is a Max ring if and only if J(R), the Jacobson radical of R, is T-nilpotent if and only if every R-module satisfies the weak Nakayama property. 相似文献
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M. V. Ladoshkin 《Mathematical Notes》2006,79(5-6):664-674
For each left graded module M over a graded algebra A, a Hochschild cochain complex S*(A, M) whose homology is responsible for the existence of nontrivial structures of A ∞-modules over A ∞-algebras on the given module is constructed. 相似文献
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Intan Muchtadi-Alamsyah 《代数通讯》2013,41(7):2544-2569
We construct an action of a braid group associated to a complete graph on the derived category of a certain symmetric Nakayama algebra which is also a Brauer star algebra with no exceptional vertex. We connect this action with the affine braid group action on Brauer star algebras defined by Schaps and Zakay–Illouz. We show that for Brauer star algebras with no exceptional vertex, the action is faithful. 相似文献