in this paper we introduce and study an algebraic structure, namely grouplike. a grouplike is something between semigroup and group and its axioms are generalizations of the four group axioms. every grouplike is a semigroup containing the minimum ideal that is also a maximal subgroup (but the converse is not valid). the first idea of grouplikes comes from b-parts and $b$-addition of real number...

Class of cellular automata (CA) for modeling reaction diffusion systems has been presented. The construction of the CA is general enough to be applicable to large class of reaction diffusion equation s. Tne automata are based on running average procedure and on probabilistic table look up to implement diffusion reactions. The evolution of probabilistic CA simulates a spatially distributed proce...

Sonny G. Sundaresan Copeland Corporation Sidney, Ohio, U.S.A. HCFC 22 currently used in Air-Conditioning and Heat Pump applications, is being replaced by R407C and R410A, both HFC 32 based blends. Scroll compressors are being developed to meet the improved efficiency and other system performance requirements in Air-Conditioning and Heat Pump products in North America, Europe and Asia-Pacific. L...

The effect of the surfactant, alpha-[4-(1,1,3,3-tetramethylbutyl) phenyl]-omega-hydroxypolyoxy-1,2-ethanediyl, on the adsolubilization of cholesterol and/or dotriacontane as model compounds of the epicuticular wax of mature tomato (Lycopersicon esculentum Mill.) fruit was investigated. Cholesterol as a model compound of such triterpenols as alpha- and beta-amyrins was solubilized in a concentra...

A better knowledge of the transport and thermodynamic properties for the refrigerant+lubricant system is required to properly design the refrigeration circuit. This is essential also to develop proper models able to predict the behavior of the mixture refrigerant+lubricant depending on the working conditions. However, the experimental data available in literature are insufficient to build dedic...

The notion of a &Gamma-semigroup was introduced by Sen [8] in 1981. We can see that any semigroup can be considered as a &Gamma-semigroup. The aim of this article is to study the concept of (0-)minimal and max- imal ordered bi-ideals in ordered &Gamma-semigroups, and give some charac- terizations of (0-)minimal and maximal ordered bi-ideals in ordered &Gamma- semigroups analogous to the charact...

In [1,2,3], A. C. Baker and J.W. Baker studied the subspace Ma(S) of the convolution measure algebra M, (S) of a locally compact semigroup. H. Dzinotyiweyi in [5,7] considers an analogous measure space on a large class of C-distinguished topological semigroups containing all completely regular topological semigroups. In this paper, we extend the definitions to study the weighted semigroup ...

Semigroups whose congruences form a chain are often termed ∆-semigroups. The commutative ∆-semigroups were determined by Schein and by Tamura. A natural generalization of commutativity is permutativity: a semigroup is permutative if it satisfies a non-identity permutational identity. We completely determine the permutative ∆-semigroups. It turns out that there are only six noncommutative exampl...

Abstrak: Penelitian ini bertujuan untuk mengembangkan Lembar Kerja Siswa berbasis POE (Predict, Observe, Explain) meningkatkan pemahaman konsep matematis siswa SMP dengan kategori valid, praktis dan efektif. Jenis penelitian adalah pengembangan model ADDIE (Analysis, Design, Development, Implementation, Evaluation). Penelitan dilakukan kepada 30 kelas VII MTs. Darussa’adah. Instrumen yang digun...

In this paper, we first introduce the new concept of completely semiprime fuzzy ideals of an ordered semigroup S, which is an extension of completely semiprime ideals of ordered semigroup S, and investigate some its related properties. Especially, we characterize an ordered semigroup that is a semilattice of simple ordered semigroups in terms of completely semiprime fuzzy ideals of ordered semi...