We extend the notion of intersection of a radical class with the sum of radical classes of rings due to Y. Lee and R. E. Propes (see [3, 4]) to the intersection of a radical class with the sum of radical classes of hemirings. A few results of (see [1, 3, 4]) can be concluded from this paper. AMS Mathematics Subject Classification (2000): 16Y60, 16W50

We extend the ridgelet transform to the space of tempered Boehmians consistent with the ridgelet transform on the space of tempered distributions. We also prove that the extended ridgelet transform is continuous, linear, bijection and the extended adjoint ridgelet transform is also linear and continuous. AMS Mathematics Subject Classification (2010): 44A15, 44A35, 42C40

In this paper, we study the number of solutions to the equation (x + 1)d = xd + 1 . This equation gives the value of the third power sum equation in case of Niho type exponents and is helpful in finding the distribution of the values Cd(τ). We provide the number of the solutions using the new method. AMS Mathematics Subject Classification : 97N70, 11G25, 94A55, 68Q87.

In this paper we introduce the notion of screen pseudo-slant lightlike submanifolds of indefinite Kaehler manifolds giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D1, D2 and RadTM on screen pseudo-slant lightlike submanifolds of an indefinite Kaehler manifold have been obtained. Further, we obtain necessary and suff...

In this paper we introduce a new direction in the investigations of the open problem of the representation of algebraic lattices by the weak congruence lattices. In some cases the representability of some lattice follows from the representability of another lattice. We give some results. AMS Mathematics Subject Classification (2010): 08A30

In this paper, we study the Martin kernels of general open sets associated with inaccessible points for a large class of purely discontinuous Feller processes in metric measure spaces. AMS 2010 Mathematics Subject Classification: Primary 60J50, 31C40; Secondary 31C35, 60J45, 60J75.

In this article we consider a Brownian motion with drift of the form dSt = μtdt+ dBt for t ≥ 0, with a specific non-trivial (μt)t≥0, predictable with respect to F B , the natural filtration of the Brownian motion B = (Bt)t≥0. We construct a process H = (Ht)t≥0, also predictable with respect to F , such that ((H · S)t)t≥0 is a Brownian motion in its own filtration. Furthermore, for any δ > 0, we...

Considering a countable number of topologies on a set X, we introduce the notion of (א0)topological spaces as a generalization of the notions of both bitopological spaces and (ω)topological spaces, and study some of their properties. AMS Mathematics Subject Classification (2000): 54A10

This paper shows that sn-metrizable spaces can not be characterized as sequence-covering, compact, σ-images of metric spaces or sn-open, π, σ-images of metric spaces. Also, a space with a locally countable sn-network need not to be an sn-metrizable space. These results correct some errors on sn-metrizable spaces. AMS Mathematics Subject Classification (2000): 54C05, 54E35, 54E40

A set of m positive integers with the property that the product of any two of them increased by 4 is a perfect square is called a D(4)-m-tuple. In this paper, we consider the extensibility of a general D(4)-pair {a, b} and prove some results supporting the conjecture that there does not exist a D(4)-quintuple. AMS subject classifications: 11D09, 11J68