Journal Vol – 18 No -4, April 2023

n-KERNELS OF SKELETAL CONGRUENCES ON A DISTRIBUTIVE NEARLATTICE

Authors:

Shiuly Akhter

DOI NO:

https://doi.org/10.26782/jmcms.2023.04.00001

Abstract:

In this paper, the author studied the skeletal congruences θ^* of a distributive nearlattice S, where * represents the pseudocomplement. Then the author described θ(I)^*, where θ(I) is the smallest congruence of S containing n-ideal I as a class and showed that I^+ is the n-kernel of θ(I)^*. In this paper, the author established the following fundamental results: When n is an upper element of a distributive nearlattice S, the author has shown that the n-kernels of the skeletal congruences are precisely those n-ideals which are the intersection of relative annihilator ideals and dual relative annihilator ideals whose endpoints are of the form x∨n and x∧n respectively. For a central element n of a distributive nearlattice S, the author proved that P_n (S) is disjunctive if and only if the n-kernel of each skeletal congruence is an annihilator n-ideal. Finally, the author discussed that P_n (S) is semi-Boolean if and only if the map θ→Ker_n θ is a lattice isomorphism of SC(S) onto K_n SC(S) whose inverse is the map I→θ(I) where I is an n-ideal and n is a central element of S.

Keywords:

n-Kernels of skeletal congruence,Pseudo complement,Annihilator n-ideal,Disjunctive nearlattice,Semi-Boolean algebra,

Refference:

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VII. S. Akhter and A. S. A. Noor, n-Ideals of a medial nearlattice, Ganit J. Bangladesh Math. Soc., 24(2005) 35-42.
VIII. W. H. Cornish, The Kernels of skeletal congruences on a distributive lattice, Math. Nachr., 84(1978) 219-228.
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IMAGE WATERMARKING ON DEGRADED COMPRESSED SENSING MEASUREMENTS

Authors:

Seba Maity

DOI NO:

https://doi.org/10.26782/jmcms.2023.04.00002

Abstract:

This paper proposes an additive watermarking on sparse or compressible coefficients of the host image in the presence of blurring and additive noise degradation. The sparse coefficients are obtained through basis pursuit (BP). Watermark recovery is done through deblurring, and performance is studied here for Wiener and fast total variation deconvolution (FTVD) techniques; the first one needs the actual or an estimate of the noise variance, while the second one is blind. Extensive simulations are done on images for different CS measurements along with a wide range of noise variations. Simulation results show that FTVD with an optimum value for regularization parameter enables the extraction of the watermark image in visually recognizable form, while Wiener deconvolution neither restores the watermarked image nor the watermark when no knowledge of noise is used.

Keywords:

Basis pursuit,CS imaging,additive watermarking,Wiener deblurring;,FTVD,

Refference:

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THE INTEGRATION OF SUPPLY CHAIN MANAGEMENT AND INDUSTRY 4.0: ANALYSIS OF STRUCTURAL RELATIONSHIPS

Authors:

Alper Senol, Ahmed Bakhsh, Ahmad Elshennawy

DOI NO:

https://doi.org/10.26782/jmcms.2023.04.00003

Abstract:

In this study, the assessment of major factors that directly impact the success of the Industry 4.0 integration of the supply chain in terms of tangible and intangible business resources as well as the mediating role of work engagement over these business resources was performed. A total of 685 survey questions were distributed to voluntary participants in the supply chain management industry and 182 responses were studied. Structural Equation Modelling using AMOS software was carried out. Analysis such as variables and their related measurement scales, data screening, replacing missing values, removing outliers and testing normality of data, Harman’s single-factor test, and Confirmatory Factor Analysis were conducted. Descriptive results of the constructs were discussed.

Keywords:

Supply Chain Management,Industry 4.0,Business Resources,Structural Equation Modelling,

Refference:

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A NEW CONCEPT OF THE EXTENDED FORM OF PYTHAGORAS THEOREM

Authors:

Prabir Chandra Bhattacharyya

DOI NO:

https://doi.org/10.26782/jmcms.2023.04.00004

Abstract:

According to Pythagoras Theorem : In a right-angled triangle x2 + y2 = z2 , where, base = x, altitude = y, and hypotenuse = z. In the present paper, the author states that x2 + y2 = – z2 is the extended form of the Pythagoras Theorem.

Keywords:

Countup and countdown straight line,circle,Dynamics of Numbers,Pythagoras Theorem,

Refference:

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XIV. Prabir Chandra Bhattacharyya, ‘AN INTRODUCTION TO THEORY OF DYNAMICS OF NUMBERS: A NEW CONCEPT’. J. Mech. Cont. & Math. Sci., Vol.-16, No.-11, January (2022). pp 37-53.
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