Operator inequalities of Jensen type by Moslehian M. S., Mićić J., Kian M.

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ADVANCED LINEAR ALGEBRA / by Loehr, Nicholas A., author. 650211, , author

“…The book consists of twenty chapters, grouped into six main subject areas (algebraic structures, matrices, structured matrices, geometric aspects of linear algebra, modules, and multilinear algebra). …”

The Mass Formula for Self-Orthogonal and Self-Dual Codes over a Non-Unitary Non-Commutative Ring by Adel Alahmadi, Altaf Alshuhail, Rowena Alma Betty, Lucky Galvez, Patrick Solé

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MOBIUS: Model-Oblivious Binarized Neural Networks by Hiromasa Kitai, Jason Paul Cruz, Naoto Yanai, Naohisa Nishida, Tatsumi Oba, Yuji Unagami, Tadanori Teruya, Nuttapong Attrapadung, Takahiro Matsuda, Goichiro Hanaoka

“…However, combining these tools is not trivial because their operations have different algebraic structures. MOBIUS uses improved procedures of BNNs and secure computation that have compatible algebraic structures without downgrading prediction accuracy. …”
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The X-ray Transform and its Application in Nano Crystallography by tajedin derikvand, Rajab Ali Kamyabi-Gol, mohammad janfada

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Primal quantization postulate for quantum fields by Richard W. Haase

“…We formulate a theory of quantum fields underpinned solely by the full geometric algebra structure generated by the vector space of spacetime. …”
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A Class of compact operators on homogeneous spaces by Fatemah Esmaeelzadeh, Rajab Ali Kamyabi Gol, Reihaneh Raisi Tousi

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NeutroVectorSpaces I by M.A. Ibrahim, A.A.A. Agboola

“…Recently, the concept of NeutroAlgebraic and AntiAlgebraic Structures were introduced and analyzed by Florentin Smarandache. …”
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On Nilpotent Multipliers of Pairs of Groups by Azam Hokmabadi, Fahimeh Mohammadzadeh, Behrooz Mashayekhy

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Approximate symmetries in d = 4 CFTs with an Einstein gravity dual by Kuo-Wei Huang

“…Abstract By applying the stress-tensor-scalar operator product expansion (OPE) twice, we search for algebraic structures in d = 4 conformal field theories (CFTs) with a pure Einstein gravity dual. …”
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The complex sinh-Gordon model: form factors of descendant operators and current-current perturbations by Michael Lashkevich, Yaroslav Pugai

“…Further we apply the proposed algebraic structures to constructing form factors of the conserved currents T k and Θ k . …”
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Non-isometric U-dualities by Chris D. A. Blair

“…I start by providing more details of a recently proposed generalised U-duality map between solutions of type IIA supergravity of the form M7 × S3, with NSNS flux, and solutions of 11-dimensional supergravity, in which the three-sphere is replaced by a four-dimensional geometry which encodes three-algebra structure constants. I then show that when M7 admits two abelian isometries, TsT deformations on the IIA side become six-vector deformations in the 11-dimensional setting. …”
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Weak Separation, Pure Domains and Cluster Distance by Miriam Farber, Pavel Galashin

“…We apply our result to calculate the cluster distance and to give lower bounds on the mutation distance between cluster variables in the cluster algebra structure on the coordinate ring of the Grassmannian. …”
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On the algebraic approach to solvable lattice models by Vladimir Belavin, Doron Gepner

“…Abstract We treat here interaction round the face (IRF) solvable lattice models. We study the algebraic structures underlining such models. For the three block case, we show that the Yang Baxter equation is obeyed, if and only if, the Birman-Murakami-Wenzl (BMW) algebra is obeyed. …”
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Online Sequential Complex-Valued ELM for Noncircular Signals: Augmented Structures and Learning Algorithms by Hui Wang, Yuanyuan Wang, Shuai Zhu, Huisheng Zhang

“…By exploiting the algebra structure resulted from the augmented architecture, several approaches to reducing the computational complexity are also proposed. …”
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α-Quasi-Lock Semantic Resolution Method Based on Lattice-Valued Logic by Xiaomei Zhong, Yang Xu, Jun Liu, Shuwei Chen

“…Based on the general form of α-resolution principle for a lattice-valued logic with truth-values defined in a lattice-valued logical algebra structure - lattice implication algebra, the further extended α-resolution method in this lattice-valued logic is discussed in the present paper in order to increase the efficiency of the resolution method. …”
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Exploring Hybrid H-bi-Ideals in Hemirings: Characterizations and Applications in Decision Making by Asmat Hadi, Asghar Khan, Nosheen Faiz, Dost Muhammad Khan, Rashad A. R. Bantan, Mohammed Elgarhy

“…By employing these hybrid h-bi-ideals, we provide insightful characterizations of h-hemiregular and h-intra-hemiregular hemirings, offering a deeper understanding of their algebraic structures. Beyond theoretical implications, we demonstrate the practical value of hybrid structures and decision-making theory in handling real-world problems under imprecise environments. …”
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Different types of primary ideals of near-rings and their graphs by Adnan Muhammad, Muhammad Ashraf, Waheed Ahmad Khan

“…In the last few decades, studies of graph theory based on algebraic structures have been pursued. Many studies have inspected graphs via groups, rings, near-rings, and seminear-rings, and vice versa. …”
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Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras by T. Chtioui, S. Mabrouk, A. Makhlouf

“…Hom-pre-Jordan algebras are regarded as the underlying algebraic structures of the Hom-Jordan algebras behind the Rota-Baxter operators and O-operators introduced in this paper. …”
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Standard Model EFTs via on-shell methods by Manuel Accettulli Huber, Stefano De Angelis

“…From these building blocks, we review how locality and unitarity enforce Lie algebra structures to appear in the S-matrix elements together with relations among couplings (and hypercharges). …”
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