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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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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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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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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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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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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On Ideals in Partially Ordered Ternary Semigroups by Dattatray Nabajirao Shinde, Machchhindra T. Gophane

“…The concept of ideals has been extensively studied through various algebraic structures such as near-rings, involution rings, regular rings, gamma-rings, semigroups, ordered semigroups, ternary semigroups and ordered ternary semigroups. …”
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Edge ideals and DG algebra resolutions by Adam Boocher, Alessio D'Alì, Eloisa Grifo, Jonathan Montano, Alessio Sammartano

“…We apply our results to the study of the k-algebra structure of the Koszul homology of R.<br /><br />…”
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Hopf Algebra of Sashes by Shirley Law

“…The bijection induces a Hopf algebra structure on sashes. We describe the product and coproduct in terms of sashes, and the natural partial order on sashes. …”
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Structure of classical (finite and affine) W-algebras by De Sole, Alberto, Kac, Victor, Valeri, Daniele

“…On the other hand, we produce an explicit set of generators and we derive an explicit formula for the Poisson vertex algebra structure of the classical affine W- Algebra W(g, f). …”
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Skew cyclic codes over F4R by Benbelkacem, Nasreddin, Ezerman, Martianus Frederic, Abualrub, Taher, Aydin, Nuh, Batoul, Aicha

“…Results on the algebraic structures lead us to characterize 4R-skew cyclic codes. …”
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An algebraic approach to multi-sorted constraints by Bulatov, A, Jeavons, P

“…We also systematically develop an algebraic structural theory for the general problem, and show that this theory can be used to generalise earlier results about the complexity of certain constraint types. © Springer-Verlag 2003.…”

Construction of grand unified models under maximal subalgebras by De La Ossa, X, de Téramond, G

“…A construction of grand unified models of the strong, weak and electromagnetic interactions is described based on the transformation properties of the group generators under a maximal subgroup decomposition without recourse to large representation matrices or to the specific algebraic structures of some classical Lie-groups, such as the Clifford algebra associated with the orthogonal groups or the octonionic structure of the exceptional groups. …”

Some study of (α,β)-fuzzy ideals in ordered semigroups by Khan, Faiz Muhammad, Sarmin, Nor Haniza, Khan, Asghar

“…Algebraic structures especially an ordered semigroups play a prominent role in mathematics with wide ranging applications in many disciplines such as control engineering, computer arithmetics, coding theory, sequential machines and formal languages. …”

Cyclic Codes over a Non-Local Non-Unital Ring by Adel Alahmadi, Malak Altaiary, Patrick Solé

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