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TitleOn Prime, Weakly Prime Left Ideals and Weakly Regular Ternary Semirings
Vol.37(6) (2013) page: 801
Author(s): S.K. Bhambri et al.  

In this paper, we introduce the concepts of prime and weakly prime left ideals in ternary semiring and give some characterizations related to the same. The notion of weak m-system in ternary semiring is introduced and give some characterizations in terms of prime and weakly prime left ideals in ternary semirings. We also introduce the notion of weakly regular ternary semiring and prove some important results analogous to ring theory.

Keywords: Ternary semiring; Weakly prime left ideals; Weakly regular ternary semirings.
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TitleA Short Note on Thirions Demons Algorithm
Vol.37(6) (2013) page: 813
Author(s): V. Bieta and T. Möller  

Thirions Demons algorithm, first introduced in [5], is an intuitive and widely used matching algorithm. In contrast to other algorithms it is not obvious, that there is any reasonable energy which is minimized by the Demons algorithm. In [6] it is shown, that Thirions Demons algorithm minimizes the energy introduced in [3] (cf. (1)). In order to show this result the authors used Lie theory. In this note a simplified proof is given using standard calculus on vector spaces instead of Lie theory.

Keywords: Thirions Demons algorithm; Nonrigid image registration; Optimization.
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TitleAlgebra of Matrices and Arens Regularity of Determinant Maps
Vol.37(6) (2013) page: 817
Author(s): M. Ettefagh  

Let A be a complex Banach algebra. We investigate the Arens regularity and contractibility of Mn(A). Also it is shown that the determinant map D:M2(A)→ A, as a bilinear map is Arens regular if and only if A is Arens regular.

Keywords: Arens regularity; Banach algebra; Matrix algebra.
Size:104KB   download
TitleMS-algebras With Double Demi-Pseudocomplementation
Vol.37(6) (2013) page: 823
Author(s): J. Fang and C.J. Shi  

In this paper, we introduce an MS-algebra with double demi- pseudocomplementation, denoted by ddpMS. In particular, we show that there are precisely thirty six non-isomorphic subdirectly irreducible ddpMS-algebras via Priestley duality.

Keywords: MS-algebra; Double demi-pseudocomplemented algebra; Congruence; Subdirectly Irreducible.
Size:135KB   download
TitleSyntactic Nearrings Associated With Group Semiautomata
Vol.37(6) (2013) page: 837
Author(s): Y. Fong et al.  

This is a brief survey in the structure theory of syntactic nearrings associated with group semiautomata which was initiated by M. Holcombe [17] since 1983. The basic idea was using the technique of automata theory, one can obtain a lot of interesting mathematics, saying syntactic nearrings, as well as applications. In this article, we present a series of interesting results of syntactic nearrings associated with group semiautomata and also some recent work on syntactic nearrings of odd dihedrial group that will be appeared in the near future.

Keywords: Syntactic nearring; Group semiautomaton.
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TitleSome Inequalities of Subgroup Commutativity Degree of Finite Groups
Vol.37(6) (2013) page: 845
Author(s): A. Gholami and M. R. Mollaei  

In 2009 M.T arnauceanu introduced the concept of subgroup commutativity degree of a finite group G. This concept is arising interest in several areas of group theory in the last years. In this paper we try to study some inequalities of this notion such that these are open problem or type of subgroup commutativity degree of finite groups(see also [16, 21]).

Keywords: Subgroup commutativity degree; Permutable subgroups, Subgroup lattice.
Size:137KB   download
TitleOn Derivations of Prime ??-Semirings
Vol.37(6) (2013) page: 859
Author(s): M.A. Javed et al.  

In this paper, we introduce the notion of derivations of prime Γ-semirings and extend a few results of E.C. Posner in the frame work of derivations of prime Γ-semirings.

Keywords: ??-semirings; Prime ??-semirings; Derivations.
Size:101KB   download
TitleCharacterization of the Group Dp(5) by Order Components, Where p ?? 5 is a Prime Number
Vol.37(6) (2013) page: 867
Author(s): M. Khademi and M.R. Darafsheh  

In this paper we prove that the group Dp(5) where p ≥ 5 is a prime number can be uniquely determined by its order components. The content of our paper is independent of a paper by H.G. Shi and G.Y. Chen and Z.J. Han published in the Southeast Asian Bull. Math. in 2011 that if G is a finite group and OC(G) denotes the set of order components of G,then OC(G)=OC(Dp(5)) if and only if G ≅ Dp(5). A main consequence of our result is the validity of the well known Thompson's conjecture for the group Dp(5), where p ≥ 5 is a prime number.

Keywords: Prime graph; Order component; Orthogonal group.
Size:213KB   download
TitleGlobal Classical Solution to a Hyperbolic System of Conservation Laws in Oil Recovery
Vol.37(6) (2013) page: 887
Author(s): Y.C. Pang et al.  

The Cauchy problem for a hyperbolic system of conservation laws in oil recovery with continuous and piecewise smooth initial data is investigated. By local existence and uniqueness results and uniform a priori estimate for the C1 norm of smooth solutions, it is proven that, under some reasonable hypotheses on the initial data, the Cauchy problem admits a unique global continuous and piecewise smooth solution on t ≥ 0.

Keywords: Keyfitz-Kranzer model; Cauchy problem; Goursat problem; Global solution.
Size:117KB   download
TitleNormed Near Algebras Through Semilinear Maps
Vol.37(6) (2013) page: 895
Author(s): I. Ramabhadra Sarma et al.  

The aim of this paper is to (a) generalize the known costruction method of a near ring (Rn, +,.) given by K.D. Magill, Jr to infinite dimensional in 1995, (b) Suggest new ways to define semilinear maps on a real linear space (X,+,·) and utilize these mappings λ to define near ring or near algebra sturctures Xλ on X, and (c) Prove a Hurwitz Frobenius type result to the effect that a nontrivial Xλ is a one-dimensional algebra if all its nonzero elements are right invertible.

Keywords: Near rings; Linear spaces; Semilinear maps; Toplogical near rings; Hurwitz frobenius type theorem.
Size:113KB   download
TitleOn Monotonic Sequential Operators
Vol.37(6) (2013) page: 903
Author(s): M. Singha and S. De Sarkar  

Notions of monotonic sequential operators and their components (on and off) are introduced and sequential as well as generalized sequential topologies induced by them are studied. Some properties of such operators and their components have been derived using the concept of operators introduced by Á. Császá r and investigated the relations among themselves. The concept of connectors are also generalized. Expansion or contraction of a component of sequential set depends upon some other components of that sequential set; this kind of dependence plays the main role and yields plenty of results in this paper.

Keywords: Monotonic sequential operator; Off component; On component; Generalized sequential topology; Sequential topology; Generalized connector.
Size:200KB   download
TitleThe Ideal Convergence of Strongly of ??2 in p− Metric Spaces Defined by Modulus
Vol.37(6) (2013) page: 919
Author(s): N. Subramanian et al.  

The aim of this paper is to introduce and study a new concept of the Γ2 space via ideal convergence defined by modulus and also some topological properties of the resulting sequence spaces were examined.

Keywords: Analytic sequence; Modulus function; Double sequences; ??2 space, n-metric space.
Size:134KB   download
TitleComplete Random Normed Algebras
Vol.37(6) (2013) page: 931
Author(s): Y.H. Tang and T.X. Guo  

First, based on the notion of a random normed module we present the notion of a random normed algebra. Then, based on the analysis of stratification structure we present the notion of the random spectrum of an element in a random normed algebra. Finally, we establish some random spectral theorems.

Keywords: Random normed module; Random normed algebra; Random spectrum; Random spectral theorem.
Size:141KB   download
TitleUniqueness of Meromorphic Functions Whose Certain Differential Polynomials Have Two Pseudo Common Values
Vol.37(6) (2013) page: 941
Author(s): H.P. Waghamore and A. Tanuja  

In this paper, we study the uniqueness question of meromorphic functions whose certain differential polynomials having two pseudo common values, and obtain some results which improve and generalize the related results due to S.S. Bhoosnurmath and R.S. Davanal [1], P. Sahoo [5], J. Xia and Y. Xu [8] and C. Wu, C. Mu and J. Li [6].

Keywords: Meromorphic functions; Uniqueness; Differential polynomials; Sharing value.
Size:117KB   download
TitleNonlinearity of Quartic Rotation Symmetric Boolean Functions
Vol.37(6) (2013) page: 951
Author(s): L. Yang et al.  

Nonlinearity of rotation symmetric Boolean functions is an important topic on cryptography algorithm. Let e ≥ 1 be any given integer. In this paper, we investigate the following question: Is the nonlinearity of the quartic rotation symmetric Boolean function generated by the monomial x0xex2ex3e equal to its weight? We introduce some new simple sub-functions and develop new technique to get several recursive formulas. Then we use these recursive formulas to show that the nonlinearity of the quartic rotation symmetric Boolean function generated by the monomial x0xex2ex3e is the same as its weight. So we answer the above question affirmatively. Finally, we conjecture that if l ≥ 4 is an integer, then the nonlinearity of the rotation symmetric Boolean function generated by the monomial x0xex2e...xle equals its weight.

Keywords: Rotation symmetric Boolean function; Nonlinearity; Weight; Fourier transform.
Size:139KB   download
15 Records!


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