共查询到20条相似文献,搜索用时 15 毫秒
1.
我们在[1]中证明了,一个半环(hemiring)关于它的Jacobson关系根的商同构于完全本原半环的亚直和。这使我们有兴趣对这个特殊的半环类——完全本原半环的结构作进一步的讨论。本文的主要结果是:一个半环是完全本原的当且仅当它是一个半模上的亚稠密自同态半环。这个定理给出了完全本原半环的结构,推广了Jacobson—Chevalley稠密定理。 相似文献
2.
<正> §1.引言 假设非平坦的 n 维黎曼空间的曲率张量 R_(hijk)在每一点恒满足下列关系(?)其中(?)是某一向量场,同时也满足 相似文献
3.
《复变函数与椭圆型方程》2012,57(1):77-79
It is shown that a separately normal map is holomorphic and a separately normal family which is separately uniformly normal is a normal family extending a result by Barth that a separately holomorphic map into hyperbolic spaces is holomorphic and a separately normal family of maps into hyperbolic spaces is a normal family. 相似文献
4.
Characterizations of Strongly Regular Rings 总被引:9,自引:0,他引:9
Zhang Jule 《东北数学》1994,(3)
CharacterizationsofStronglyRegularRingsZhangJule(章聚乐)(DepartmentofMathematics,AnhuiNormalUniversity,Wuhu241000)Abstract:Inthi... 相似文献
5.
Zhang Jule 《东北数学》1998,(1)
in this paper, new characteristic properties of strongly regular rings are' given.Relations between certain generalizations of duo rings are also considered. The followingconditions are shown to be equivalent: (1) R is a strongly regular ring; (2) R is a left SFring such that every product of two independent closed left ideals of R is zero; (3) R is aright SF-ring such that every product of two independent closed left ideals of R is zero; (4)R is a left SF-ring whose every special left annihilator is a quasi-ideal; (5) R is a right SFring whose every special left annihilator is a quasi-ideal; (6) R is a left SF-ring whose everymaximal left ideal is a quasi-ideal; (7) R is a right SF-ring whose every maximal left ideal isa quasi-ideal; (8) R is a left SF-ring such that the set N(R) of all nilpotent elements of R isa quasi-ideal; (9) R is a right SF-ring such that N(R) is a quasi-ideal. 相似文献
6.
A. V. Zhuchok 《Algebra and Logic》2011,50(4):323-340
It is proved that a system of axioms for a dimonoid is independent and Cayley’s theorem for semigroups has an analog in the
class of dimonoids. The least separative congruence is constructed on an arbitrary dimonoid endowed with a commutative operation.
It is shown that an appropriate quotient dimonoid is a commutative separative semigroup. The least separative congruence on
a free commutative dimonoid is characterized. It is stated that each dimonoid with a commutative operation is a semilattice
of Archimedean subdimonoids, each dimonoid with a commutative periodic semigroup is a semilattice of unipotent subdimonoids,
and each dimonoid with a commutative operation is a semilattice of a-connected subdimonoids. Various dimonoid constructions are presented. 相似文献
7.
Huanyin CHEN Department of Mathematics Hunan Normal University Changsha China. 《数学年刊B辑(英文版)》2007,28(6):617-628
A ring R is a QB-ring provided that aR bR=R with a,b∈R implies that there exists a y∈R such that a by∈R_q~(-1).It is said that a ring R is a JB-ring provided that R/J(R)is a QB-ring,where J(R)is the Jacobson radical of R.In this paper,various necessary and sufficient conditions,under which a ring is a JB-ring,are established.It is proved that JB-rings can be characterized by pseudo-similarity.Furthermore,the author proves that R is a JB-ring iff so is R/J(R)~2. 相似文献
8.
This article proves a characterisation of the classical unital that is a generalisation of a characterisation proved in 1982
by Lefèvre-Percsy. It is shown that if is a Buekenhout-Metz unital with respect to a line in such that a line of not through meets in a Baer subline, then is classical. An immediate corollary is that if is a unital in PG such that is Buekenhout-Metz with respect to two distinct lines, then is classical.
Received 5 August 1999; revised 15 February 2000. 相似文献
9.
10.
Goda Hiroshi; Hirasawa Mikami; Yamamoto Ryosuke 《Proceedings London Mathematical Society》2001,83(2):472-492
Let R be a Seifert surface obtained by applying Seifert's algorithmto a connected diagram D for a link L. In this paper, lettingD be almost alternating, we give a practical algorithm to determinewhether L is a fibered link and R is a fiber surface. We furthershow that L is a fibered link and R is a fiber surface for Lif and only if R is a Hopf plumbing, that is, a successive plumbingof a finite number of Hopf bands. It has been known for sometime that this is true if D is alternating, and we show thatit is not always true if D is 2-almost alternating. In the appendix,we partially answer C. Adams's open question concerning almostalternating diagrams. 2000 Mathematical Subject Classification:57M25. 相似文献
11.
Ayman Badawi 《代数通讯》2013,41(5):2343-2358
A prime ideal P of a ring A is said to be a strongly prime ideal if aP and bA are comparable for all a,b ε A. We shall say that a ring A is a pseudo-valuation ring (PVR) if each prime ideal of A is a strongly prime ideal. We show that if A is a PVR with maximal ideal M, then every overring of A is a PVR if and only if M is a maximal ideal of every overring of M that does not contain the reciprocal’of any element of M.We show that if R is an atomic domain and a PVD, then dim(R) ≤ 1. We show that if R is a PVD and a prime ideal of R is finitely generated, then every overring of R is a PVD. We give a characterization of an atomic PVD in terms of the concept of half-factorial domain. 相似文献
12.
An adaptive control problem of a discrete time Markov process that is completely observed in a fixed recurrent domain and
is partially observed elsewhere is formulated and a solution is given by constructing an approximately self-optimal strategy.
The state space of the Markov process is either a closed subset of Euclidean space or a countable set. Another adaptive control
problem is solved where the process is always only partially observed but there is a family of random times when the process
evaluated at these times is a family of independent, identically distributed random variables.
Accepted 26 April 1996 相似文献
13.
平坦的多项式剩余类环 总被引:1,自引:0,他引:1
本文证明了如果多项式的剩余类环 A=R[T]/fR[T]作为 R-模是平坦模,且R是约化环,则f是正规多项式.特别地,若R还是连通的,则f的首项系数是单位.也证明了弱整体有限的凝聚环是约化环,以及弱整体为有限的凝聚连通环是整环. 相似文献
14.
证明了一般环I是Clean一般环当且仅当I上的形式幂级数一般环I[[x]]是Clean一般环;一般环I上的多项式环I[x]是Clean一般环当且仅当I是诣零的.引入了强Clean一般环的概念,它是强Clean环的推广.并证明了强π-正则的一般环是强Clean一般环. 相似文献
15.
16.
17.
18.
A. V. Kel’manov L. V. Mikhailova S. A. Khamidullin 《Numerical Analysis and Applications》2008,1(3):255-268
An a posteriori (off-line) approach to solving the problem of maximum-likelihood detection of a recurring tuple containing reference fragments in a numerical quasiperiodic sequence is studied. The case is analyzed where (1) the total number of fragments in a sequence is unknown; (2) the index of a sequence term corresponding to the beginning of a fragment is a deterministic (not random) value; (3) a sequence distorted by additive uncorrelated Gaussian noise is available for observation. It is shown that the problem under consideration is reduced to testing a set of simple hypotheses about the mean of a random Gaussian vector. The cardinality of this totality grows exponentially as the vector dimension (i.e., the length of the sequence under study) increases. It is established that searching for a maximum-likelihood hypothesis is equivalent to finding arguments that yield a maximum for an auxiliary objective function. It is shown that maximizing the objective function reduces to solving a special optimization problem, which is proved to be solvable in polynomial time. An exact algorithm for solving this problem, which underlies the optimal (maximum-likelihood) detection algorithm for a recurring tuple, is substantiated. The kernel of the exact algorithm is an algorithm for solving a special (basic) optimization problem. Results of numerical simulations are presented. 相似文献
19.
20.
Yi Ming Zou 《代数通讯》2013,41(1):221-230
The notion of coorbits for spaces with quantum group actions is introduced. A space with a quantum group action is given by a pair of algebras: an associative algebra which is the analog of a classical topological space, and a Hopf algebra which is the analog of a classical topological group. The Hopf algebra acts on the associative algebra via a comodule structure mapping which is also an algebra homomorphism. For a space with a quantum group action, a coorbit is a pair of spaces given by the image and the kernel of an algebra homomorphism from the associative algebra to the Hopf algebra. The coorbits of several types of quantum homogeneous spaces are discussed. In the case when the associative algebra is the group algebra of a group and the Hopf algebra is a quotient of the group algebra, the connection between the set of coorbits and the character group is established. 相似文献