Some results on 2-absorbing ideals in commutative semirings
Journal Title: Journal of Mathematics and Applications - Year 2015, Vol 38, Issue
Abstract
In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero identity which is a generalization of prime ideals of a commutative semiring and prove number of results related to the same. We also use these concepts to prove some results of Q-ideals in terms of subtractive extension of ideals in a commutative semiring.
Authors and Affiliations
Pratibha Kumar, Manish Kant Dubey, Poonam Sarohe
On a Cubic Integral Equation of Urysohn Type with Linear Perturbation of Second Kind
In this paper, we concern by a very general cubic integral equation and we prove that this equation has a solution in C[0,1]. We apply the measure of noncompactness introduced by Banaś and Olszowy and Darbo's fixed point...
A Refinement of Schwarz’s Lemma and its Applications
By using the value of the second derivative of the function at 0, along with the values of the function and its first derivative at 0, we have obtained a refinement of well known Schwarz’s lemma and have used this refine...
Some Triple Difference Rough Cesàro and Lacunary Statistical Sequence Spaces
We generalized the concepts in probability of rough Cesàro and lacunary statistical by introducing the difference operator ∆^α_γ of fractional order, where α is a proper fraction and γ = (γ_{mnk}) is any fixed sequence o...
Certain subordination results on the convolution of analytic functions
In this paper, certain subordination results on the convolution of finite number of analytic functions are derived. Our results include a sufficiency condition for convexity of the convolution of analytic functions f_i s...
Application of the multi-step differential transform method to solve a fractional human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells
Human T-cell Lymphotropic Virus I (HTLV-I) infection of CD4+ T-Cells is one of the causes of health problems and continues to be one of the significant health challenges. In this article, a multi-step differential transf...