A novel soft rough set: Soft rough hemirings and corresponding multicriteria group decision making by Zhan, J., Liu, Q., Herawan, T.

“…It is pointed out that in this paper, we first apply soft rough sets to algebraic structure-hemirings. Further, we first put forward the concepts of C-soft sets and CC-soft sets, which provide a new research idea for soft rough algebraic research. …”

Mathematical aspects of selected block ciphers by Alqarni, Yazeed Saeed

“…The findings of the thesis can be divided into the following main contributions: an overview of the different types of block ciphers primitives are given, the block ciphers are explored in terms of their underlying algebraic structure operations, and the algebraic primitives used in block ciphers design are evaluated from their security and efficiency aspects and then compared with random substitution boxes (S-boxes). …”
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An analysis for chosen plaintext attack in elliptic curve cryptosystem based on second order lucas sequence by Koo, Lee Feng, Sarbini, Izzatul Nabila, Yiu, Pang Hung, Naning @ Zin, Fatin Hana, Wong, Tze Jin

“…Elliptic Curve Cryptography is a cryptography based on the algebraic structure of elliptic curves over finite fields. …”
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Prime preideals on bounded EQ-algebras by Akhlaghinia N., Borzooei R. A., Kologani M. Aaly

“…EQ-algebras were introduced by Novák in [14] as an algebraic structure of truth values for fuzzy type theory (FFT). …”
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Remote data possession checking scheme with supporting efficient group user authority management for shared cloud data by Yilin Yuan, Zhenzhen Zhang

“…To assist the group manager in authorization management, we formalize a new algebraic structure operator named authorization invisible authenticator (AIA). …”
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On a concrete characterization problem of universal graphic semiautomata by Farakhutdinov, Renat Abuhanovich

“…It is common knowledge that properties of the semigroup are closely interconnected with properties of the algebraic structure of the semiautomaton. This suggests that universal graphic semiautomata may be researched using their input signal semigroups. …”
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Pseudo General Overlap Functions and Weak Inflationary Pseudo BL-Algebras by Rong Liang, Xiaohong Zhang

“…The legend reveals IPGRLs include all non-commutative algebraic structures involved in the article.…”
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Qubit Regularization and Qubit Embedding Algebras by Hanqing Liu, Shailesh Chandrasekharan

“…When the qubit-regularized lattice quantum fields preserve important symmetries of the original theory, qubit regularization naturally enforces certain algebraic structures on these quantum fields. We introduce the concept of qubit embedding algebras (QEAs) to characterize this algebraic structure associated with a qubit regularization scheme. …”
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LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART I: GENERAL THEORY by PIERRE-EMMANUEL CAPRACE, COLIN D. REID, GEORGE A. WILLIS

“…If $H$ is second-countable and acts faithfully on its centralizer lattice, we show that the topology of $H$ is determined by its algebraic structure (and thus invariant by every abstract group automorphism), and also that the action on the Stone space of the centralizer lattice is universal for a class of actions on profinite spaces. …”
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Bipolar Fuzzy Set Theory Applied to the Certain Ideals in BCI-Algebras by N. Abughazalah, G. Muhiuddin, Mohamed E. A. Elnair, A. Mahboob

“…The study of symmetry is one of the most important and beautiful themes uniting various areas of contemporary arithmetic. Algebraic structures are useful structures in pure mathematics for learning a geometrical object’s symmetries. …”
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Algebraic generalization of Diffie–Hellman key exchange by Partala Juha

“…Its underlying algebraic structure is a cyclic group and its security is based on the discrete logarithm problem (DLP). …”
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PMU‐based decentralised mixed algebraic and dynamic state observation in multi‐machine power systems by Nicolai Lorenz‐Meyer, Alexey Bobtsov, Romeo Ortega, Nikolay Nikolaev, Johannes Schiffer

“…More specifically, they prove that for the third‐order flux‐decay model of a synchronous generator, the local PMU measurements provide enough information to reconstruct algebraically the load angle and quadrature‐axis internal voltage. Due to the algebraic structure, a high numerical efficiency is achieved, which makes the method applicable to large‐scale power systems. …”
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Asymptotic O $$ \mathcal{O} $$ (r) gauge symmetries and gauge-invariant Poincaré generators in higher spacetime dimensions by Oscar Fuentealba

“…The new charges generated by the O $$ \mathcal{O} $$ (r) gauge parameter are found to be conjugate to those associated to the now improper subleading O(r −d+3) transformations, while the standard O $$ \mathcal{O} $$ (1) gauge transformations are canonically conjugate to the subleading O $$ \mathcal{O} $$ (r −d+4) transformations. This algebraic structure, characterized by the presence of central charges, allows us to perform a nonlinear redefinition of the Poincaré generators, that results in the decoupling of all of the u(1) charges from the Poincaré algebra. …”
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Constructing Higher Inductive Types as Groupoid Quotients by Niccolò Veltri, Niels van der Weide

“…In particular, we show that each signature gives rise to a HIT corresponding to the freely generated algebraic structure over it. We also start the development of universal algebra in 1-types. …”
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Constructions and Properties of Quasi Sigma-Algebra in Topological Measure Space by Susmit Bagchi

“…In this paper, the sigma-set algebraic structure is extended in a Hausdorff topological space based on the locally compactable neighborhood systems without considering strictly (metrized) Borel variety. …”
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The double pentaladder integral to all orders by Simon Caron-Huot, Lance J. Dixon, Matt von Hippel, Andrew J. McLeod, Georgios Papathanasiou

“…This space, a prototype for the space of Steinmann hexagon functions, has a simple algebraic structure, which we elucidate by considering a particular discontinuity of the functions that localizes the Mellin integral and collapses the relevant symbol alphabet. …”
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Acoustic realization of projective mirror Chern insulators by Tianzi Li, Luohong Liu, Qicheng Zhang, Chunyin Qiu

“…Recent theory shows that in the presence of gauge fields, the algebraic structure of crystalline symmetries needs to be projectively represented, which brings extra chance for topological physics. …”
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Numerical method for finding decoherence-free subspaces and its applications by Wang, Xiaoting, Byrd, Mark, Jacobs, Kurt

“…In this work, inspired by the study of semidefinite programming for block-diagonalizing matrix *-algebras, we propose an algorithm that can find the algebraic structure of decoherence-free subspaces (DFS's) for a given noisy quantum channel. …”
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Emergent commensurability from Hilbert space truncation in fractional quantum Hall fluids by Yang, Bo

“…We also discuss the implications of certain missing states proposed from other phenomenological approaches, and suggest that the physics of the FQH effect could fundamentally arise from the algebraic structure of the Hilbert space in a single Landau level.…”
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Numerical simulation of the time-fractional Fokker--Planck equation and applications to polymeric fluids by Beddrich, J, Suli, E, Wohlmuth, B

“…We propose an efficient implementation strategy based on the algebraic structure of the discretized time-fractional Fokker–Planck equation, which significantly reduces the computational cost.…”