We give a characterization for irreducible numerical semi-groups. From this characterization we obtain that every irre-ducible numerical semigroup is either a symmetric or pseudo-symmetric numerical semigroup. We study the minimal presentations of an irreducible numerical semigroup. Separately, we deal with the cases of maximal embedding dimension and multiplicity 3 and 4.

The human mind is one of our most compelling subjects of scientific inquiry—and perhaps our most elusive. Despite impressive biological advances, neuroscience has yet to produce a logical and empirical analysis of the mind that exhibits universal, objective explanatory power of human mental phenomena on both an individual and species level. This article first explores the limitations of the cur...

This paper acts as an introduction to representation theory. In addition to defining representations of Lie algebras and of finite groups, this paper will go through two standard examples, the Lie algebra sl2C and the finite group Sn, to illustrate techniques for their construction and use. In addition, those examples will develop some important theory behind representations of Lie algebras and...

In this paper, we introduce and study the prime, strongly prime,semiprime and irreducible fuzzy bi-ideals of a semigroup. We characterize thosesemigroups for which each fuzzy bi-ideal is semiprime. We also characterizethose semigroups for which each fuzzy bi-ideal is strongly prime.

‎Let $G$ be a finite group‎. ‎We say that an element $g$ in $G$ is a vanishing element if there exists some irreducible character $chi$ of $G$ such that $chi(g)=0$‎. ‎In this paper‎, ‎we classify groups whose set of vanishing elements is exactly a conjugacy class‎.

In the representation theory of nite groups it is useful to know which ordinary irreducible representations remain irreducible modulo a prime p. For the symmetric groups S n this amounts to determining which Specht modules are irreducible over a eld of characteristic p. Throughout this note we work in characteristic 2, and in this case we classify the irreducible Specht modules, thereby verifyi...

This paper introduces the notion of calibrated representations for aane Hecke algebras and classiies and constructs all nite dimensional irreducible calibrated representations. The main results are that (1) irreducible calibrated representations are indexed by placed skew shapes, (2) the dimension of an irreducible calibrated representation is the number of standard Young tableaux corresponding...

This paper introduces the notion of calibrated representations for affine Hecke algebras and classifies and constructs all finite dimensional irreducible calibrated representations. The main results are that (1) irreducible calibrated representations are indexed by placed skew shapes, (2) the dimension of an irreducible calibrated representation is the number of standard Young tableaux correspo...

the prediction of porosity is achieved by using available core and log data; however, the estimationof permeability is limited to the scare core data. hence, porosity and saturation data through theframework of flow units can be used to make an estimation of reservoir permeability. the purposeof this study is to predict the permeability of a carbonate gas reservoir by using physical-basedempiri...

‎let $g$ be a finite group and let $n$ be a normal subgroup of $g$‎. ‎suppose that ${rm{irr}} (g | n)$ is the set of the irreducible characters of $g$ that contain $n$ in their kernels‎. ‎in this paper‎, ‎we classify solvable groups $g$ in which the set $mathcal{c} (g) = {{rm{irr}} (g | n) | 1 ne n trianglelefteq g }$ has at most three elements‎. ‎we also compute the set $mathcal{c}(g)$ for suc...