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. …”

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

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Service-Oriented Logic Programming by Ionut Tutu, Jose Luiz Fiadeiro

“…Our work builds on recent theoretical advancements in the algebraic structures that capture the way services are orchestrated and in the processes that formalize the discovery and binding of services to given client applications by means of logical representations of required and provided services. …”
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The Music Box Operad: Random Generation of Musical Phrases from Patterns by Samuele Giraudo

“…This dives the set of the musical phrases into an algebraic framework since the set of the multi-patterns is endowed with the structure of an operad. Operads are algebraic structures offering a formalization and an abstraction of the notion of operators and their compositions. …”
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k-Intersection Graph of a Finite Set by Fahimeh Esmaeeli, Ahmad Erfanian, Farzaneh Mansoori

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Neutro-Sigma Algebras and Anti-Sigma Algebras by Memet Şahin

“…Neutro-algebra structures play a significant role in the neutrosophic theory. …”
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Time-like boundary conditions in the NLS model by Anastasia Doikou, Iain Findlay, Spyridoula Sklaveniti

“…This is particularly relevant in the absence of a classical r-matrix, or when considering complicated underlying algebraic structures. The associated time Riccati equations and hence the time-like conserved quantities are also derived. …”
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Neutrosophic Algebraic Mathematical Morphology by A. A. Salama, Hewayda ElGhawalby, Huda E. Khalid, Ahmed K. Essa, Ahmed A. Mohammed

“…In this paper, we introduce and study the NeutroAlgebra structure and many of operations and properties of the mathematical morphology. …”
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Algebraic classification of Hietarinta’s solutions of Yang-Baxter equations: invertible 4 × 4 operators by Somnath Maity, Vivek Kumar Singh, Pramod Padmanabhan, Vladimir Korepin

“…We employ four distinct algebraic structures that, depending on the qubit representation, replicate 10 of the 11 Hietarinta families. …”
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Formal higher-spin theories and Kontsevich–Shoikhet–Tsygan formality by Alexey Sharapov, Evgeny Skvortsov

“…The formal algebraic structures that govern higher-spin theories within the unfolded approach turn out to be related to an extension of the Kontsevich formality, namely, the Shoikhet–Tsygan formality. …”
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A New Decision Making Model Based on Complex Intuitionistic Fuzzy Soft Lattice for Traffic Monitoring in the Pandemic Scenarios by Shio Gai Quek, Ganeshsree Selvachandran, Vimala Jayakumar, Phet Duong, Le Hoang Son

“…Various representations of real‐life scenarios by algebraic structures are of vital importance in the modern era of Industrial Revolution 4.0 as it enables such data to be interpreted and processed by artificial intelligence, thus bridging the interaction gap between humans and machines. …”
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Brick polytopes, lattices and Hopf algebras by Vincent Pilaud

“…It enables us to transport the known lattice and Hopf algebra structures from the congruence classes of ≡k to these acyclic pipe dreams, and to describe the product and coproduct of this algebra in terms of pipe dreams. …”
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“Learning models” by Inger Eriksson, Natalia Tabachnikova

“…The analysis of data focuses on the use of learning models and reflective elaboration and discussions exploring algebraic structures of whole and parts. The findings indicate that it is possible to promote the youngest students’ algebraic understanding of equations through the collective and reflective use of learning models, and we conclude that the students had opportunity to develop algebraic thinking about equations as a result of their participation in the learning activity. …”
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On Advances of Lattice-Based Cryptographic Schemes and Their Implementations by Harshana Bandara, Yasitha Herath, Thushara Weerasundara, Janaka Alawatugoda

“…In this paper, the plain lattice implementations and variants with special algebraic structures such as ring-based variants are discussed. …”
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Weak Separation, Pure Domains and Cluster Distance by Farber, Miriam, Galashin, Pavel

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

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Reverse Zagreb and Reverse Hyper-Zagreb Indices for Crystallographic Structure of Molecules by Zhen Wang, Faryal Chaudhry, Maria Naseem, Adnan Asghar

“…Topological indices help us collect information about algebraic graphs and give us mathematical approach to understand the properties of algebraic structures. With the help of topological indices, we can guess the properties of chemical compounds without performing experiments in wet lab. …”
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Commutative Rings Behind Divisible Residuated Lattices by Cristina Flaut, Dana Piciu

“…Divisible residuated lattices are algebraic structures corresponding to a more comprehensive logic than Hajek’s basic logic with an important significance in the study of fuzzy logic. …”
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Variable-basis Categorically-algebraic Dualities by Sergey A. Solovyov

“…Davey, which provides a machinery for obtaining topological representations of algebraic structures. The new setting differs from its predecessor in relying on catalg topology, introduced lately by the author as a new approach to topological structures, which incorporates the majority of both crisp and many-valued developments, ultimately erasing the border between them. …”
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