共查询到20条相似文献,搜索用时 31 毫秒
1.
Qihong XIE 《数学年刊B辑(英文版)》2015,36(6):937-946
A smooth scheme $X$ over a field $k$ of positive characteristic is
said to be strongly liftable over $W_2(k)$, if $X$ and all prime
divisors on $X$ can be lifted simultaneously over $W_2(k)$. In this
paper, the author gives a criterion for those cyclic covers over
strongly liftable schemes that are still strongly liftable. As a
corollary, cyclic covers over projective spaces of dimension at
least three are strongly liftable over $W_2(k)$. 相似文献
2.
In this article, cyclic codes and negacyclic codes over formal power series rings are studied. The structure of cyclic codes over this class of rings is given, and the relationship between these codes and cyclic codes over finite chain rings is obtained. Using an isomorphism between cyclic and negacyclic codes over formal power series rings, the structure of negacyclic codes over the formal power series rings is obtained. 相似文献
3.
研究了交换半环上矩阵的秩和坡上矩阵的可逆条件.利用Beasley的引理以及不变式,获得了交换半环上正则矩阵的行秩、列秩与Schein秩三者相等,以及坡上矩阵可逆的充要条件.推广模糊代数和分配格上矩阵的结果. 相似文献
4.
Yi-Jia Tan 《Linear and Multilinear Algebra》2018,66(12):2501-2511
5.
记R=F_2+uF_2+u~2F_2,定义了环R上码字的李重量分布的概念,构造了从R~n到F_2~(3n)的Gray映射φ.通过对环R上线性码及其对偶码生成矩阵的研究,证明了环R上线性码及其对偶码的Gray象是F_2上的对偶码.利用域F_2上线性码及其对偶码的重量分布关系,得到了环R上线性码及其对偶码关于李重量分布的MacWilliams恒等式. 相似文献
6.
In this paper, we study self-dual permutation codes over formal power series rings and finite principal ideal rings. We first give some results on the torsion codes associated with the linear codes over formal power series rings. These results allow for obtaining some conditions for non-existence of self-dual permutation codes over formal power series rings. Finally, we describe self-dual permutation codes over finite principal ideal rings by examining permutation codes over their component chain rings. 相似文献
7.
M. Yu. Maksimovskii 《Mathematical Notes》2010,87(5-6):834-843
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9.
In this paper we study the role of cleavability and divisibility in the topology of generalized ordered (GO-)spaces. We characterize cleavability of a GO-space over the class of metrizable spaces, and over the spaces of irrational and rational numbers. We present a series of examples related to characterizations of cleavability over separable metric spaces and over the space of real numbers. 相似文献
10.
《Journal of Pure and Applied Algebra》2022,226(11):107091
Categorical aspects of the theory of modules over trusses are studied. Tensor product of modules over trusses is defined and its existence established. In particular, it is shown that bimodules over trusses form a monoidal category. Truss versions of the Eilenberg-Watts theorem and Morita equivalence are formulated. Projective and small-projective modules over trusses are defined and their properties studied. 相似文献
11.
从另一种角度研究了有限链环上循环码.给出了这种环上循环码的构造由这种构造得到了有限链环上的循环码的生成多项式.借助有限链环上循环码与负循环码的同构,也得到了这种环上循环码的生成元. 相似文献
12.
《Quaestiones Mathematicae》2013,36(1):73-89
Abstract Transcendental and algebraic elements over commutative rings are defined. Rings with zero nil radical are considered. For a transcendental over R, necessary and sufficient conditions are derived for elements of R[α] to be algebraic or transcendental over R. For R a ring with identity and a finite number of minimal prime ideals, necessary and sufficient conditions are given for any element in a unitary overring of R to be algebraic or transcendental over R. It is proved that if α is algebraic Over R, so is every element of R[α]. It is show that if R is Noetherian, β is algebraic over R[α] and α is algebraic over R, then, under certain conditions, β is algebraic over R. If R has a finite number of minimal prime ideals, P1,…,Pk, which are pairwise comaximal, then if t is transcendental over R, R[t] can be obtained by adjoining k algebraic elements ai over R to R whose defining polynomials are in Pi [x], and conversely, if such elements are adjoined to R, they generate an element transcendental over R. 相似文献
13.
Stanislav Uryasev 《Annals of Operations Research》1995,56(1):287-311
Probability functions depending upon parameters are represented as integrals over sets given by inequalities. New derivative formulas for the intergrals over a volume are considered. Derivatives are presented as sums of integrals over a volume and over a surface. Two examples are discussed: probability functions with linear constraints (random right-hand sides), and a dynamical shut-down problem with sensors. 相似文献
14.
We study irreducible representations of two classes of conformal Galilei algebras in 1-spatial dimension. We construct a functor which transforms simple modules with nonzero central charge over the Heisenberg subalgebra into simple modules over the conformal Galilei algebras. This can be viewed as an analogue of oscillator representations. We use oscillator representations to describe the structure of simple highest weight modules over conformal Galilei algebras. We classify simple weight modules with finite dimensional weight spaces over finite dimensional Heisenberg algebras and use this classification and properties of oscillator representations to classify simple weight modules with finite dimensional weight spaces over conformal Galilei algebras. 相似文献
15.
Vera Puninskaya 《代数通讯》2013,41(11):4267-4281
We discuss Vaught's conjecture for complete theories of modules over some group rings over the integers and other Dedekind domains, and over pullback rings of Dedekind domains. 相似文献
16.
M. Yu. Maksimovskiy 《Journal of Mathematical Sciences》2010,164(2):255-259
17.
A group code defined over a group G is a subset of Gn which forms a group under componentwise group operation. The well known matrix characterization of MDS (Maximum Distance
Separable) linear codes over finite fields is generalized to MDS group codes over abelian groups, using the notion of quasideterminants
defined for matrices over non-commutative rings. 相似文献
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19.
用有理数域或特征p的素域上的有n个独立变量的有理函数域的有限代数扩张域上的多项式的不可约分解,建议了一类密码系统. 相似文献
20.
《数学季刊》2014,(2)
In this work, we investigate the cyclic codes over the ring F2+ uF2+ vF2. We first study the relationship between linear codes over F2+ uF2+ vF2 and that over F2.Then we give a characterization of the cyclic codes over F2+ uF2+ vF2. Finally, we obtain the number of the cyclic code over F2+ uF2+ vF2 of length n. 相似文献