Hybrid structures applied to modules over semirings

2021 ◽  
pp. 1-11
Author(s):  
G. Muhiuddin ◽  
J. Catherine Grace John ◽  
B. Elavarasan ◽  
Y.B. Jun ◽  
K. Porselvi

The concept of a hybrid structure in X -semimodules, where X is a semiring, is introduced in this paper. The notions of hybrid subsemimodule and hybrid right (resp., left) ideals are defined and discussed in semirings. We investigate the representations of hybrid subsemimodules and hybrid ideals using hybrid products. We also get some interesting results on t-pure hybrid ideals in X . Furthermore, we show how hybrid products and hybrid intersections are linked. Finally, the characterization theorem is proved in terms of hybrid structures for fully idempotent semirings.

Author(s):  
B. Elavarasan ◽  
G. Muhiuddin ◽  
K. Porselvi ◽  
Y. B. Jun

AbstractHuman endeavours span a wide spectrum of activities which includes solving fascinating problems in the realms of engineering, arts, sciences, medical sciences, social sciences, economics and environment. To solve these problems, classical mathematics methods are insufficient. The real-world problems involve many uncertainties making them difficult to solve by classical means. The researchers world over have established new mathematical theories such as fuzzy set theory and rough set theory in order to model the uncertainties that appear in various fields mentioned above. In the recent days, soft set theory has been developed which offers a novel way of solving real world issues as the issue of setting the membership function does not arise. This comes handy in solving numerous problems and many advancements are being made now-a-days. Jun introduced hybrid structure utilizing the ideas of a fuzzy set and a soft set. It is to be noted that hybrid structures are a speculation of soft set and fuzzy set. In the present work, the notion of hybrid ideals of a near-ring is introduced. Significant work has been carried out to investigate a portion of their significant properties. These notions are characterized and their relations are established furthermore. For a hybrid left (resp., right) ideal, different left (resp., right) ideal structures of near-rings are constructed. Efforts have been undertaken to display the relations between the hybrid product and hybrid intersection. Finally, results based on homomorphic hybrid preimage of a hybrid left (resp., right) ideals are proved.


Materials ◽  
2021 ◽  
Vol 14 (12) ◽  
pp. 3289
Author(s):  
Tomasz Kwapiński ◽  
Marcin Kurzyna

Mid-gap 1D topological states and their electronic properties on different 2D hybrid structures are investigated using the tight binding Hamiltonian and the Green’s function technique. There are considered straight armchair-edge and zig-zag Su–Schrieffer–Heeger (SSH) chains coupled with real 2D electrodes which density of states (DOS) are characterized by the van Hove singularities. In this work, it is shown that such 2D substrates substantially influence topological states end evoke strong asymmetry in their on-site energetic structures, as well as essential modifications of the spectral density function (local DOS) along the chain. In the presence of the surface singularities the SSH topological state is split, or it is strongly localized and becomes dispersionless (tends to the atomic limit). Additionally, in the vicinity of the surface DOS edges this state is asymmetrical and consists of a wide bulk part together with a sharp localized peak in its local DOS structure. Different zig-zag and armachair-edge configurations of the chain show the spatial asymmetry in the chain local DOS; thus, topological edge states at both chain ends can appear for different energies. These new effects cannot be observed for ideal wide band limit electrodes but they concern 1D topological states coupled with real 2D hybrid structures.


2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
G. Muhiuddin ◽  
D. Al-Kadi ◽  
A. Mahboob

In this paper, the notion of hybrid structure is applied to the ideal theory in BCI-algebras. In fact, we introduce the notions of hybrid p -ideal, hybrid h-ideal, and hybrid a-ideal in BCI-algebras and investigate their related properties. Furthermore, we show that every hybrid p -ideal (or h-ideal or a-ideal) is a hybrid ideal in a BCI-algebra but converse need not be true in general and in support, and we exhibit counter examples for each case. Moreover, we consider characterizations of hybrid p -ideal, hybrid h-ideal, and hybrid a-ideal in BCI-algebras.


2012 ◽  
Vol 166-169 ◽  
pp. 14-18
Author(s):  
Shu Yun Zhang ◽  
Wen Wei Zhao ◽  
Hai Hua Wang

Considering core thickness is important issue to performance of exterior frame and core hybrid structure in high-rise buildings, seismic response analysis is conducted by response spectrum method for finite element models with different core thickness. The optimization design of core thickness of hybrid Structures on the basis of the seismic response is studied, the core thicknesses are chosen as design variables, the objective function about core volume is adopted, some specification requirements such as deformation, the ratio of lateral stiffness to gravity, storey shear to gravity, storey shear of exterior frame, axial compression ratio of column and wall limb, bearing capacity of structural member and core construction are regarded as restricting conditions, the optimal mathematical model is established for reflecting integrity dynamic properties of hybrid structure. The ANSYS software is used for optimizing tool, the hybrid structures optimization design are made through different initial values for verifying convergence of optimization method, the optimal result show that the performances of hybrid structure are improved, the internal forces are reduced and the ratios of inner force born by exterior frames are increased in the optimal scheme.


2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
Guru P. Neupane ◽  
Minh Dao Tran ◽  
Hyun Kim ◽  
Jeongyong Kim

Monolayer MoS2 (1L-MoS2) is an ideal platform to examine and manipulate two dimensionally confined exciton complexes, which provides a large variety of modulating the optical and electrical properties of 1L-MoS2. Extensive studies of external doping and hybridization exhibit the possibilities of engineering the optical and electrical performance of 1L-MoS2. However, biomodifications of 1L-MoS2 and the characterization and applications of such hybrid structures are rarely reported. In this paper, we present a bio-MoS2 hybrid structure fabricated by laterally stretching strands of DNAs on CVD-grown 1L-MoS2. We observed a strong modification of photoluminescence and Raman spectra with reduced PL intensity and red-shift of PL peak and Raman peaks, which were attributed to electron doping by the DNAs and the presence of tensile strain in 1L-MoS2. Moreover, we observed a significant enhancement of electric mobility in the DNA/1L-MoS2 hybrid compared to that in the pristine 1L-MoS2, which may have been caused by the induced strain in 1L-MoS2.


2002 ◽  
Vol 12 (04) ◽  
pp. 1159-1171
Author(s):  
RAPHAEL TSU

Since the introduction of the man-made superlattices and quantum well structures, the field has taken off and developed into Quantum Slab, QS; Quantum Wire, QW; Quantum Dot, QD; and Nanoelectronics. This rapidly expanding field owes its success to the development of epitaxially grown heterojunctions and heterostructures to confine carriers in injection lasers. Meanwhile, the advancement of lithography allows potentials to be applied in nanoscale dimension leading to the possibility of quantum confinement without heterostructures. Actually, quantum states in the inversion layer of field effect transistors, FETs, formed by the application of a large gate voltage appeared several years before the introduction of the superlattices and quantum wells. The quantum Hall effect was first discovered in the Si inversion layer. This chapter, Multipole-Electrode Heterojunction Hybrid Structure, MEHHS, discusses hybrid structures of heterojunctions and applied potentials via multipole-electrodes for a much wider variety of structures for future quantum devices. The technology required to fabricate these electrodes, to some degree, is routinely used in the double-gate devices. Few specific examples are detailed here, hopefully, to stimulate a rapid adoption of a hybrid system for the formation of quasi-discrete states for quantum devices.


RSC Advances ◽  
2015 ◽  
Vol 5 (34) ◽  
pp. 26985-26990 ◽  
Author(s):  
Ruili Wu ◽  
Weilong Li ◽  
Yun Wan ◽  
Zhaoyu Ren ◽  
Xinlong Xu ◽  
...  

Anisotropic terahertz response of stretch-aligned composite films based on carbon nanotube–SiC hybrid structure was investigated.


2010 ◽  
Vol 04 (01) ◽  
pp. 1-7 ◽  
Author(s):  
G. Q. LI ◽  
X. DING ◽  
S. W. CHEN

The inter-storey drift limitation is an important index for the structural design of tall buildings. The inter-storey drift limitation of steel-hybrid structures for tall buildings is studied in this paper. It is found that it is more reasonable to divide the inter-storey drift of steel–concrete hybrid structures into harmless part and harmful part. It is meaningful to limit the harmful drift for preventing the crack of concrete walls in hybrid structures. A formula to calculate the allowable harmful inter-storey drift with no cracks of concrete walls is deduced for hybrid structures for tall buildings. The effectiveness of the formula is verified through the FEM analysis of a typical tall building hybrid structure.


2021 ◽  
Author(s):  
Ting Zhu ◽  
Kaijie Wen ◽  
Chengjie Deng ◽  
Xiaokang Yin ◽  
Xiaorui Zhang ◽  
...  

Abstract This paper presents a new inductance-capacitance non-destructive detection technique with a form of planar dual-mode sensor. The detection principle of the sensor in mode-L and mode-C was analyzed, and the feasibility of this new combination of inductance and capacitance nondestructive detection technique was demonstrated. A PCB sensor was designed and manufactured, a further research on the characteristic physical field of the designed sensor using finite element simulation software was presented. A suitable detection system was developed to realize this new dual-mode detection technique using this dual-mode detection sensor. Typical test pieces were prepared and tested. The detection results show that the proposed new inductance-capacitance technique can detect typical defects in both insulator and conductor layers of the insulator-conductor hybrid structure with a good balance of inductance and capacitance performance, indicating that this new detection technique can be further used for insulator-conductor hybrid structures non-destructive testing with the potential for structure detection, quantitative evaluation, damage imaging and other applications.


Author(s):  
Lianfeng Yang ◽  
Yigang Luan ◽  
Shi Bu ◽  
Haiou Sun ◽  
Franco Magagnato

In modern gas turbines, the trailing edge of turbine blades must be cooled by compact heat transfer structures. The basic problems in the design of cooling ducts include enhancing heat transfer, reducing pressure loss and obtaining uniform temperature distribution. The purpose is to improve energy efficiency and guarantee the engine lifespan. In this work, both experiment and numerical simulation are employed to study pressure drop and heat transfer of various kinds of cooling configurations. Pin fin array, matrix and hybrid structures are investigated in a comparative study. Thermochromic liquid crystal technique is applied to obtain heat transfer distribution on the channel surface. The results show that matrix creates much stronger heat transfer than pin fin array with increased pressure loss penalty. Performances of matrix structures are quite different due to the configurations (dense or sparse). Hybrid structures are always worse than the baseline matrix in terms of average thermal performance, due to the higher pressure loss, however, heat transfer can be improved. The performance of hybrid structure depends on the arrangement and diameter of the pin fins. Pin fins in central area provide not only larger pressure loss but also stronger heat transfer than pin fins near the bend region. Cases with larger diameter result in the thermal performance degradation. Compared with sparse matrix, the hybrid structures can compensate for the lower heat transfer enhancement. As for the dense hybrid structures, the average heat transfer capacity can be improved with reasonable pin fin arrangement.


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