Quantum Quasigroups and the Quantum Yang–Baxter Equation by Jonathan Smith

“…Quantum quasigroups are algebraic structures providing a general self-dual framework for the nonassociative extension of Hopf algebra techniques. …”
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BD algebras and group cohomology by Todea, Constantin-Cosmin

“…BD algebras (Beilinson–Drinfeld algebras) are algebraic structures which are defined similarly to BV algebras (Batalin–Vilkovisky algebras). …”
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Classification of 3-dimensional complex diassociative algebras by Rikhsiboev, Ikrom M., Rakhimov, samiddin Sattarovich, Basri, Witriany

“…In this paper we describe all diassociative algebra structure in complex vector space of dimension at most three. …”
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An Introduction to Symbolic 2-Plithogenic Vector Spaces Generated from The Fusion of Symbolic Plithogenic Sets and Vector Spaces by Nader Mahmoud Taffach

“…The fusion of symbolic plithogenic sets with algebraic structures generates novel algebraic neutrosophic structures that generalize the classical known structures. …”
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Investigating generalized quaternions with dual-generalized complex numbers by Nurten Gürses, Gülsüm Yeliz Şentürk, Salim Yüce

“…Furthermore, the algebraic structures, properties and matrix forms are expressed as generalized quaternions and dual-generalized complex numbers. …”
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An approach to neutrosophic ideals by Vildan Çetkin, Halis Aygün

“…In this paper, we aim to introduce an approach to single-valued neutorosophic ideals over a given classical ring and over a given neutrosophic subring, respectively, as a continuation of our researches on algebraic structures over single-valued neutrosophic sets. …”
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Construction of an Infinite Cyclic Group Formed by Artificial Differential Neurons by Jan Chvalina, Bedřich Smetana, Jana Vyroubalová

“…Infinite cyclic groups created by various objects belong to the class to the class basic algebraic structures. In this paper, we construct the infinite cyclic group of differential neurons which are modifications of artificial neurons in analogy to linear ordinary differential operators of the <i>n</i>-th order. …”
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ON ABELIAN FUZZY MULTI GROUPS AND ORDERS OF FUZZY MULTI GROUPS by Anagha Baby, Shinoj T.k, Sunil Jacob John

“…– As a continuation of the study of various algebraic structures of Fuzzy Multisets, in this paper the concept of Abelian fuzzy multigroups, left and right cosets of fuzzy multi groups and fuzzy multi order of an element of a group are introduced and its various properties are discussed. …”
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A Hopf algebra of subword complexes (Extended abstract) by Nantel Bergeron, Cesar Ceballos

“…We introduce a Hopf algebra structure of subword complexes, including both finite and infinite types. …”
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On two-dimensional power associative algebras over algebraically closed fields and R by Hussein Ahmed, Houida Mohammed, Bekbaev, U., Sattarovich, Rakhimov Isamiddin

“…In this paper we describe all power-associative algebra structures on a two-dimensional vector space over algebraically closed fields and ℝ. …”
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Characterizations of Group Theory under Q-Neutrosophic Soft Environment by Majdoleen Abu Qamar, Nasruddin Hassan

“…Different extensions of fuzzy sets have been already implemented to several algebraic structures, such as groups, symmetric groups, rings and lie algebras. …”
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Double circulant codes for the Lee and Euclidean distance by Adel Alahmadi, Altaf Alshuhail, Alaa Altassan, Hatoon Shoaib, Patrick Solé

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Some Notes on Relative Commutators by Masoumeh Ganjali, Ahmad Erfanian

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Unitarily invariant norm inequalities for operators by M. Erfanian Omidvar, M.S. Moslehian, A. Niknam

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Neutrosophic LA-Semigroup Rings by Mumtaz Ali, Muhammad Shabir, Florentin Smarandache, Luige Vladareanu

“…Rings are the old concept in algebraic structures. We combine the neutrosophic LA-semigroup and ring together to form the notion of neutrosophic LA-semigroup ring. …”
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Logical Reasoning for Forecasting in Mesopotamia by Schumann Andrew

“…In these documents, we see an intuition of some algebraic structures that are used for inferring prognoses as logical conclusions. …”
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Biderivations of the higher rank Witt algebra without anti-symmetric condition by Tang Xiaomin, Yang Yu

“…As an applications, commutative post-Lie algebra structures on 𝔚d are obtained. Our conclusions recover and generalize results in the related papers on low rank or anti-symmetric cases.…”
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LEFT DOUBLE DISPLACEMENT SEMIGROUP: A FIRST RESULT by Nisar Ahmad, Mutahir Ali, Farhad Ali, Arif Mehmood Khattak

“…In the present article a new type of algebraic structures named as left double displacement semigroup (LDD-semigroup). …”
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Effect Algebras of Positive Self-adjoint Operators Densely Defined on Hilbert Spaces by Z. Riečanová

“…We show that (generalized) effect algebras may be suitable very simple and natural algebraic structures for sets of (unbounded) positive self-adjoint linear operators densely defined on an infinite-dimensional complex Hilbert space. …”
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Some Innovative Types of Fuzzy Ideals in AG-Groupoids by Khan Faiz Muhammad, Khan Hidayat Ullah, Mukhtar Safyan, Khan Asghar, Sarmin Nor Haniza

“…An important milestone achieved by this paper is providing the connection between classical algebraic structures (ordinary bi-ideals, interior ideals) and new types of fuzzy algebraic structures [(∈γ, ∈γ∨qδ)-fuzzy bi-ideals, (∈γ, ∈γ∨qδ)-fuzzy interior ideals]. …”
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