in this paper the concept of an $omega$- almost boolean ring is introduced and illistrated how a sheaf of algebras can be constructed from an $omega$- almost boolean ring over a locally boolean space.

Background: In recent years, neoadjuvant chemoradiation and subsequent surgical resection with total mesorectal excision has been shown to increase local control with decreased toxicity. Neoadjuvant chemoradiotherapy is the standard treatment for locally advanced rectal cancer. In this study we evaluated the efficacy a cox-2 inhibitor on pathologic response, sphincter preservation and acute tox...

This paper presents the results of a laboratory-based experimental investigation on properties asphalt binder and hot-mix (HMA) mixes modified by locally available crumb rubber, which was used as partial replacement weight. In this study, fine rubber with particle size in range 0.3–0.6 mm, obtained from scrap tires, added to through wet process. Crumb contents 5%, 10%, 15%, 19% weight were virg...

‎Let $G$ be a group with identity $e.$ Let $R$ be a $G$-graded‎ ‎commutative ring and $M$ a graded $R$-module‎. ‎In this paper‎, ‎we‎ ‎introduce several results concerning graded classical prime‎ ‎submodules‎. ‎For example‎, ‎we give a characterization of graded‎ ‎classical prime submodules‎. ‎Also‎, ‎the relations between graded‎ ‎classical prime and graded prime submodules of $M$ are studied‎.‎

OBJECTIVES Long-term locoregional control following intensity-modulated radiotherapy (IMRT) for locally advanced squamous cell carcinoma of the head-and-neck (SCCHN) remains challenging. This study aimed to assess the efficacy and toxicity of IMRT with and without chemotherapy or surgery in locally advanced SCCHN. MATERIALS AND METHODS Between January 2007 and January 2011, 61 patients with l...

This research develops thermo-elastic analysis of a functionally graded cylinder under thermo-mechanical loadings. Heat conduction equation in cylindrical coordinate system is solved. Thermal conductivity coefficient is graded along the radial direction. By considering a symmetric distribution of temperature, loading and boundary conditions, strain-displacement and stress-strain relations can b...

Let K be a locally compact hypergroup. In this paper we initiate the concept of fundamental domain in locally compact hypergroups and then we introduce the Borel section mapping. In fact, a fundamental domain is a subset of a hypergroup K including a unique element from each cosets, and the Borel section mapping is a function which corresponds to any coset, the related unique element in the fun...

There are remarkable relations between the graded homological dimensions and the ordinary homological dimensions. In this paper, we study the injective dimension of a complex of graded modules and derive its some properties. In particular, we define the $^*$dualizing complex for a graded ring and investigate its consequences.

The production of complex multi-functional, high-strength parts is becoming increasingly important in the industry. Especially with small batch size, incremental flow forming processes can be advantageous. geometry and locally graded material properties currently depicts a great challenge process. At this point, usage closed-loop control for shape could feasible new solution. overall aim projec...