On Finite and Infinite NeutroRings of Type-NR[8,9]

2020 ◽  
pp. 87-99
Author(s):  
admin admin ◽  

NeutroRings are alternatives to the classical rings and they are of different types. NeutroRings in some cases exhibit different algebraic properties, and in some cases they exhibit algebraic properties similar to the classical rings. The objective of this paper is to revisit the concept of NeutroRings and study finite and infinite NeutroRings of type-NR[8,9]. In NeutroRings of type-NR[8,9], the left and right distributive axioms are taking to be either partially true or partially false for some elements; while all other classical laws and axioms are taking to be totally true for all the elements. Several examples and properties of NeutroRings of type-NR[8,9] are presented. NeutroSubrings, NeutroIdeals, NeutroQuotientRings and NeutroRingHomomorphisms of the NeutroRings of type-NR[8,9] are studied with several interesting examples and their basic properties are presented. It is shown that in NeutroRings of type-NR[8,9], the fundamental theorem of homomorphisms of the classical rings holds.

2020 ◽  
pp. 71-80
Author(s):  
admin admin ◽  

The notion of AntiGroups is formally presented in this paper. A particular class of AntiGroups of type-AG[4] is studied with several examples and basic properties presented. In AntiGroups of type-AG[4], the existence of an inverse is taking to be totally false for all the elements while the closure law, the existence of identity element, the axioms of associativity and commutativity are taking to be either partially true, partially indeterminate or partially false for some elements. It is shown that some algebraic properties of the classical groups do not hold in the class of AntiGroups of type-AG[4]. Specifically, it is shown that intersection of two AntiSubgroups is not necessarily an AntiSubgroup and the union of two AntiSubgroups may be an AntiSubgroup. Also, it is shown that distinct left(right) cosets of AntiSubgroups of AntiGroups of type-AG[4] do not partition the AntiGroups; and that Lagranges’ theorem and fundamental theorem of homomorphisms of the classical groups do not hold in the class of AntiGroups of type-AG[4].


2019 ◽  
Vol 9 (1) ◽  
pp. 196-201
Author(s):  
Jacek Gołaszewski ◽  
Grzegorz Cygan ◽  
Tomasz Ponikiewski ◽  
Małgorzata Gołaszewska

AbstractThe main goal of the presented research was to verify the possibility of obtaining ecological self-compacting concrete of low hardening temperature, containing different types of cements with calcareous fly ash W as main component and the influence of these cements on basic properties of fresh and hardened concrete. Cements CEM II containing calcareous fly ash W make it possible to obtain self-compacting concrete (SCC) with similar initial flowability to analogous mixtures with reference cement CEM I and CEM III/B, and slightly higher, but still acceptable, flowability loss. Properties of hardened concretes with these cements are similar in comparison to CEM I and CEM III concretes. By using cement nonstandard, new generation multi-component cement CEM “X”/A (S-W), self-compacting concrete was obtained with good workability and properties in hardened state.


2021 ◽  
pp. 1-21
Author(s):  
Muhammad Shabir ◽  
Rimsha Mushtaq ◽  
Munazza Naz

In this paper, we focus on two main objectives. Firstly, we define some binary and unary operations on N-soft sets and study their algebraic properties. In unary operations, three different types of complements are studied. We prove De Morgan’s laws concerning top complements and for bottom complements for N-soft sets where N is fixed and provide a counterexample to show that De Morgan’s laws do not hold if we take different N. Then, we study different collections of N-soft sets which become idempotent commutative monoids and consequently show, that, these monoids give rise to hemirings of N-soft sets. Some of these hemirings are turned out as lattices. Finally, we show that the collection of all N-soft sets with full parameter set E and collection of all N-soft sets with parameter subset A are Stone Algebras. The second objective is to integrate the well-known technique of TOPSIS and N-soft set-based mathematical models from the real world. We discuss a hybrid model of multi-criteria decision-making combining the TOPSIS and N-soft sets and present an algorithm with implementation on the selection of the best model of laptop.


1989 ◽  
Vol 68 (3) ◽  
pp. 705-706 ◽  
Author(s):  
J. Jaščaninas ◽  
B. Gutnik ◽  
A. Skurvydas ◽  
A. Stasiulis

8 measures recorded during alternate tapping of two targets by left and right hands for 15 boys, 13 or 14 yr. old, were made during 4 30-sec. trials using a force averaging 450 gm. Mechanical and electrical activity (EMG from m. biceps brachii) of both hands suggested asymmetric characteristics of the two hands and the likely involvement of different types of muscle fibers or asymmetry of the CNS.


Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 515 ◽  
Author(s):  
Aykut Emniyet ◽  
Memet Şahin

In this paper, the concept of fuzzy normed ring is introduced and some basic properties related to it are established. Our definition of normed rings on fuzzy sets leads to a new structure, which we call a fuzzy normed ring. We define fuzzy normed ring homomorphism, fuzzy normed subring, fuzzy normed ideal, fuzzy normed prime ideal, and fuzzy normed maximal ideal of a normed ring, respectively. We show some algebraic properties of normed ring theory on fuzzy sets, prove theorems, and give relevant examples.


2020 ◽  
Vol 32 (02) ◽  
pp. 2050012
Author(s):  
Y. Mahesha ◽  
C. Nagaraju

This paper presents the survey on different techniques which can be used to detect congenital heart disease using palm patterns. The congenital heart disease is one of the heart diseases which starts from birth. Research works are carried out towards detecting congenital heart disease before symptom appears using palm patterns so that it avoids critical health problems in future. Researchers have collected palm prints from normal people who are not suffering from any kind of heart disease and from patients who are suffering from different types of congenital heart diseases. These palm prints are collected from different hospitals. The palm prints are taken using ink and paper method. These palm patterns are analyzed to determine the role of palm pattern while detection of the disease. Few researchers have considered only triradius of palm and most of the researchers have considered palm patterns such as whorl, loop, arch and hypothenar pattern. In case of triradius, researchers have calculated position of axial triradius and it is categorized into three types. In case of whorl, loop and arch, they have considered how often they appear in palm of normal people and patients. Few researchers have analyzed both left and right hands of normal people and patients.


2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Xiaoyan Liu ◽  
Feng Feng ◽  
Hui Zhang

Interval-valued fuzzy soft sets realize a hybrid soft computing model in a general framework. Both Molodtsov’s soft sets and interval-valued fuzzy sets can be seen as special cases of interval-valued fuzzy soft sets. In this study, we first compare four different types of interval-valued fuzzy soft subsets and reveal the relations among them. Then we concentrate on investigating some nonclassical algebraic properties of interval-valued fuzzy soft sets under the soft product operations. We show that some fundamental algebraic properties including the commutative and associative laws do not hold in the conventional sense, but hold in weaker forms characterized in terms of the relation=L. We obtain a number of algebraic inequalities of interval-valued fuzzy soft sets characterized by interval-valued fuzzy soft inclusions. We also establish the weak idempotent law and the weak absorptive law of interval-valued fuzzy soft sets using interval-valued fuzzy softJ-equal relations. It is revealed that the soft product operations∧and∨of interval-valued fuzzy soft sets do not always have similar algebraic properties. Moreover, we find that only distributive inequalities described by the interval-valued fuzzy softL-inclusions hold for interval-valued fuzzy soft sets.


2018 ◽  
Vol 29 (05) ◽  
pp. 705-720 ◽  
Author(s):  
V. Berthé ◽  
F. Dolce ◽  
F. Durand ◽  
J. Leroy ◽  
D. Perrin

Dendric words are infinite words that are defined in terms of extension graphs. These are bipartite graphs that describe the left and right extensions of factors. Dendric words are such that all their extension graphs are trees. They are also called tree words. This class of words includes classical families of words such as Sturmian words, codings of interval exchanges, or else, Arnoux–Rauzy words. We investigate here the properties of substitutive dendric words and prove some rigidity properties, that is, algebraic properties on the set of substitutions that fix a dendric word. We also prove that aperiodic minimal dendric subshifts (generated by dendric words) cannot have rational topological eigenvalues, and thus, cannot be generated by constant length substitutions.


2020 ◽  
Vol 16 (26) ◽  
pp. 44-49
Author(s):  
M.I. Sviridova ◽  
◽  
N.M. Startsevа ◽  
N.P. Romm ◽  
O.A. Ulyanova ◽  
...  

The article presents a clinical case of diabetic fetopathy in a newborn from a mother with diabetes mellitus, which manifested itself not only by phenotypic disorders, but also by morphological changes in the heart – hypertrophy of the left and right ventricles with obstruction of the outflow parts of the heart, the development of respiratory, heart failure, and neurological disorders. Disorder of carbohydrate metabolism in a patient with high risk factors for metabolic disorders, which was not detected in time, and the refusal of the necessary treatment led to the need to treat the newborn in the intensive care unit. The frequency of occurrence of diabetic fetopathy in different types of diabetes mellitus was shown on the basis of data from the Center for Endocrine Diseases of Pregnant Women on the basis of GKB No. 29


Author(s):  
Jorge Ariel Sanchez Zamora

Working professionally in a paper published in the application of Microsoft Word, it is concluded that the student must make proper use of the tools provided by the application. The bloodletting is a command that allows you to apply a separation between the left and right of the text positioned, making good use a different types of sangria, produces a professional document. The following electronic filing has the intention to be a teaching tool to get an overview of how to use and to indent a paragraph.


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