Fuzzy Bases of Fuzzy Domains by Sanping Rao, Qingguo Li

“…Furthermore, the concept of a fuzzy algebraic domain is introduced, and a relationship between fuzzy algebraic domains and fuzzy domains is discussed from the viewpoint of fuzzy basis. …”
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Groupes de Brauer algébriques modulo les constantes d’espaces homogènes et leurs compactifications by Linh, Nguyen Manh

“…Then the quotient of the “algebraic” Brauer group of $X$ by $\mathrm{Br}\,K$ injects into $\mathrm{H}^1(K,\mathrm{Pic}{\overline{X}})$. …”
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A theoretical innovation of magnified cubic translation on β−ideals by Vinod Raja, Hemavathi Perumal, Palanivel Kaliyaperumal, Muralikrishna Prakasam, Ramin Goudarzi Karim

“…By employing advanced algebraic methodologies, we analyze the homomorphic relationships induced by cubic magnified translation within the context of beta ideals. …”
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On Supra-Additive and Supra-Multiplicative Maps by Jin Xi Chen, Zi Li Chen

“…Let A and B be ordered algebras over ℝ, where A has a generating positive cone and B satisfies the property that b2>0 if 0≠b∈B. …”
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Total Product and Total Edge Product Cordial Labelings of Dragonfly Graph Dgn by N. Inayah, A. Erfanian, M. Korivand

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Automation of Presentation Record Production Based on Rich-Media Technology Using SNT Petri Nets Theory by Ivo Martiník

“…Property-preserving Petri net process algebras (PPPA) were designed for the specification and verification of the Petri net processes. …”
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A Note on Sequential Product of Quantum Effects by Chunyuan Deng

“…The main purpose of this note is to study some of the algebraic properties of effects. Many of our results show that algebraic conditions on and imply that and have diagonal operator matrix forms with as an orthogonal projection on closed subspace being the common part of and . …”
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Verification of Some Topological Indices of Y-Junction Based Nanostructures by M-Polynomials by Muhammad Azeem, Muhammad Kamran Jamil, Aisha Javed, Ali Ahmad

“…The concept of M-polynomials determines the algebraic form of a system or network. It creates a structure into an algebraic equation and makes work easy to do on such a structure. …”
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Numerical Approach Based on Two-Dimensional Fractional-Order Legendre Functions for Solving Fractional Differential Equations by Qingxue Huang, Fuqiang Zhao, Jiaquan Xie, Lifeng Ma, Jianmei Wang, Yugui Li

“…Then the matrix with the Tau method is utilized to transform this problem into a system of linear algebraic equations. By solving the linear algebraic equations, the numerical solution is obtained. …”
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A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems by A. Karimi Dizicheh, F. Ismail, M. Tavassoli Kajani, Mohammad Maleki

“…Using this strategy, the iterative spectral method converts the differential equation to a set of algebraic equations. Solving these algebraic equations yields an approximate solution for the differential equation. …”
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Variable Weighted Ordered Subset Image Reconstruction Algorithm by Jinxiao Pan, Tie Zhou, Yan Han, Ming Jiang

“…We propose two variable weighted iterative reconstruction algorithms (VW-ART and VW-OS-SART) to improve the algebraic reconstruction technique (ART) and simultaneous algebraic reconstruction technique (SART) and establish their convergence. …”
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Fuzzy -Continuous Posets by S. P. Rao, Q. G. Li

“…The concept of fuzzy subset system on fuzzy posets is introduced; some elementary definitions such as fuzzy -continuous posets and fuzzy -algebraic posets are given. Furthermore, we try to find some natural classes of fuzzy -continuous maps under which the images of such fuzzy algebraic structures can be preserved; we also think about fuzzy -continuous closure operators in alternative ways. …”
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Restricted and extended plus operations for soft sets by Aslıhan Sezgin, Fitnat Aybek, Nurcan Güngör

“…By considering the algebraic properties of the operation and its distribution rules, we show that extended plus operation and other types of soft sets form many important algebraic structures, including semiring and near semiring in the collection of soft sets over the universe. …”
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A Collocation Method for Solving Fractional Riccati Differential Equation by Yalçın Öztürk, Ayşe Anapalı, Mustafa Gülsu, Mehmet Sezer

“…Using collocation points, we have the system of nonlinear algebraic equation. Then, we solve the system of nonlinear algebraic equation using Maple 13, and we have the coefficients of the truncated Taylor sum. …”
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A characterisation of higher torsion classes by Jenny August, Johanne Haugland, Karin M. Jacobsen, Sondre Kvamme, Yann Palu, Hipolito Treffinger

“…The classification is furthermore extended to the setup of higher Nakayama algebras.…”
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Multiplicative Valency-Based Descriptors for Silicon Carbides Si2C3 − I[p, q], Si2C3 − II[p, q], Si2C3 − III[p, q], and SiC3 − III[p, q] in Drug Applications... by Jin Xu, Nasir Javaid, Shamas Bilal, Muhammad Rafaqat, Iskander Tlili

“…Topological indices help us to collect information about algebraic graphs and give us a mathematical approach to understand the properties of algebraic structures. …”
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New restricted and extended soft set operations: restricted gamma and extended gamma operations by Aslıhan Sezgin, Fitnat Aybek

“…Considering the algebraic properties of the extended gamma operation and its distribution rules, we show that when combined with other types of soft sets, it forms several important algebraic structures, like semirings and nearsemirings, in the collection of soft sets over the universe. …”
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On the foundations of weak fuzzy complex-real functions by Lama Razouk, Suliman Mahmoud, Mohamad Ali

“…This paper aims to create a strong background of many algebraic structures dealing with Weak Fuzzy Complex (WFC) elements. …”
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Fano hypersurfaces in positive characteristic by Zhu, Yi

“…We prove that a general Fano hypersurface in a projective space over an algebraically closed field is separably rationally connected.…”
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Local Generalized (α,β)-Derivations by Ajda Fošner

“…We study local generalized (α,β)-derivations on algebras generated by their idempotents and give some important applications of our results.…”
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