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23 results for “algebraic structure”
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Research ArticleOpen accessIn the abstractOn the Construction and Properties of Lattice-Group Structure in Cartesian Product SpacesDavronbek Malikov, Susmit BagchiThe lattice theory and group algebra have several applications in computing sciences as well as physical sciences. The concept of lattice-group structure is an interesting hybrid algebraic structure having potential applications. In this paper, the algebraic construction of lattice-group structure is formulated and associated algebraic properties are established. The proposed construction considers Cartesian product spaces. The concept of two-dimensional monoid … …Journal of Computer Science, Vol. 16, Issue 4 · 3 Apr 2020 · 7,834 accessesView PDFCite
Research ArticleOpen accessIn the abstractCoordinated Transformation for Fuzzy Autocatalytic Set of Fuzzy Graph Type-3Tahir Ahmad, Sumarni Abu Bakar, Sabariah Baharun, Faisal A.M. BinjadhnanFuzzy Autocatalytic Set (FACS) of fuzzy graph Type-3 was established in the effort to describe the underlying phenomena of a clinical waste incineration process. Further research could be explored to scrutinize this concept especially in looking at its mathematical structure. In this paper, we highlighted the mathematical structures of FACS particularly on the algebraic structures of its matrix and graph. … …Journal of Mathematics and Statistics, Vol. 11, Issue 4 · 31 Jan 2016 · 7,148 accessesView PDFCite
Research ArticleOpen accessIn the abstractReducing Redundancy of Codons through Total GraphNisha Gohain, Tazid Ali, Adil AkhtarIn this study some algebraic connections in genetic code is being discussed. The genetic code is the rule by which DNA stores the genetic information about formation of protein molecule. Based on the physico-chemical properties of four RNA (or DNA) bases, two orders in the base sets are obtained. This ordering allows us to define a ring structure on the … …Current Research in Bioinformatics, Vol. 4, Issue 1 · 25 Jun 2015 · 7,339 accessesView PDFCite
Research ArticleOpen accessIn the abstractTHE INFLUENCE OF THE INTEGRATED MODEL OF SOCIAL STRATIFICATION STRUCTURE ON THE PUBLIC PARTICIPATING NON-PROFIT ORGANIZATIONSYu-Tien Huang, Ming-Shen WangThe main body of social stratification structure in Taiwan is transformed with social mobility. By transforming the social stratification structure, the function of non-profit organizations is operating steadily. How does people’s awareness of social strata directly or indirectly influence the operation of non-profit organizations? How do non-profit organizations and governments respond to the transformation of social stratum compositions? And how … …Journal of Social Sciences, Vol. 9, Issue 4 · 23 Jan 2014 · 7,280 accessesView PDFCite
Research ArticleOpen accessIn the abstractAgricultural Resources Allocation and Field Crops CompetitionElgilany Ahmed, Jamalludin Sulaiman, Saidatulakmal MohdProblem statement: Field crops are considered as essential cash and food crops produced in River Nile State (RNS) of North Sudan include cereal, food-legumes, vegetables and fodders beside the perennial crops. They are the main source of household income and regarded as a major part of the daily diet for the Sudanese. In other words they play an important role … …American Journal of Agricultural and Biological Sciences, Vol. 6, Issue 3 · 4 Aug 2011 · 7,979 accessesView PDFCite
Research ArticleOpen accessIn the abstractEEG Signals During Epileptic Seizure as a Semigroup of Upper Triangular MatricesFaisal Abdurabu Mubarak Binjadhnan, Tahir AhmadProblem statement: EEG signals during epileptic seizure can be presented as an algebraic structure, namely semigroup of upper triangular matrices. Approach: EEG signals during seizure were recorded and composed into set of matrices. They were transformed into upper triangular matrices using QR-Schur decomposition and finally as a semigroup of upper triangular matrices. Results: EEG signals during epileptic seizure were transformed … …American Journal of Applied Sciences, Vol. 7, Issue 4 · 30 Apr 2010 · 7,019 accessesView PDFCite
Research ArticleOpen accessIn the abstractMeasures on the Quotient Spaces of the IntegersNorris Sookoo, Peter ChamiSK-partitions were introduced by Sharma and Kaushik, who defined distances (metrics) between vectors in terms of partitions of the alphabet set Fq , the set of the ring of integers modulo q. These distances were applied in Coding Theory. The research examined algebraic and topological aspects of SK-partitions and related sets of measures. A lattice of SK-partitions was introduced and … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 7,009 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Presence of Cascading Effect in the Key Expansion Mechanism of Rijndael-The AESY. Talwar, C.E. Veni Madhavan, Navin RajpalRijndael-The AES is 128-bit block cipher based on an elegant algebraic structure over F28. This cipher employs a simple approach to its substitution, permutation (SP) operations. We take a close look on the Key Expansion Mechanism of Rijndael - The AES. This study highlights on the presence of the cascading effect in its key expansion mechanism. Thus, lowering the brute-force … …Journal of Computer Science, Vol. 2, Issue 2 · 28 Feb 2006 · 6,807 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Partial Linearization of Byte Substitution Transformation of Rijndael-The AESY. Talwar, C. E.V. Madhavan, Navin RajpalRijndael-The AES[1-3] is 128-bit block cipher based on an elegant algebraic structure over F28. This cipher employs a simple approach to its substitution, permutation (SP) operations. We take a close look at its internals; the byte substitution transformation function is the only non-linear function in Rijndael - The AES. This transformation comprises of two steps operating on each byte. Here … …Journal of Computer Science, Vol. 2, Issue 1 · 31 Jan 2006 · 6,861 accessesView PDFCite