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Transposition Regular TA-Groupoids and Their Structures [PDF]
Axioms, 2022 Tarski associative groupoid (TA-groupoid) is a kind of non-associative groupoid satisfying Tarski associative law. In this paper, the new notions of transposition regular TA-groupoid are proposed and their properties and structural characteristics are ...
Xiaogang An, Xiaohong Zhang
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Research on a Class of Special Quasi TA-Neutrosophic Extended Triplet: TA-Groups [PDF]
Neutrosophic Sets and Systems, 2023 Tarski associative groupoid (TA-groupoid) and Tarski associative neutrosophic extended triplet groupoid (TA-NET-groupoid) are two interesting structures in non-associative algebra. In this paper, a new concept of TA-group is proposed based on TA-groupoid,
Mingming Chen, Yudan Du, Xiaogang An
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A Kind of Non-associative Groupoids and Quasi Neutrosophic Extended Triplet Groupoids (QNET-Groupoids), [PDF]
Neutrosophic Sets and Systems, 2020 The various generalized associative laws can be considered as generalizations of traditional symmetry. Based on the theories of CA-groupoid, TA-groupoid and neutrosophic extended triplet (NET), this paper first proposes a new concept, which is type-2 ...
Xiaohong Zhang +2 more
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Neutrosophic κ-structures in an AG-groupoid [PDF]
Neutrosophic Sets and Systems, 2023 An AG-groupoid is the midway between commutative semigroup and groupoid. The core structure of Flock theory is an AG-groupoid, which focuses on motion replication and distance optimization and has numerous applications in physics and biology ...
G. Muhiuddin, K. Porselvi, B. Elavarasan
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Cyclic Associative Groupoids (CA-Groupoids) and Cyclic Associative Neutrosophic Extended Triplet Groupoids (CA-NET-Groupoids) [PDF]
Neutrosophic Sets and Systems, 2019 Group is the basic algebraic structure describing symmetry based on associative law. In order to express more general symmetry (or variation symmetry), the concept of group is generalized in various ways, for examples, regular semigroups, generalized ...
Xiaohong Zhang, Zhirou Ma, Wangtao Yuan
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Endomorphisms and anti-endomorphisms of some finite groupoids
Журнал Средневолжского математического общества, 2022 In this paper, we study anti-endomorphisms of some finite groupoids. Previously, special groupoids $S(k, q)$ of order $k(1+k)$ with a generating set of $k$ elements were introduced.
Litavrin Andrey V.
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On Anti-endomorphisms of Groupoids
Известия Иркутского государственного университета: Серия "Математика", 2023 In this paper, we study the problem of element-by-element description of the set of all anti-endomorphisms of an arbitrary groupoid. In particular, the structure of the set of all anti-automorphisms of a groupoid is studied. It turned out that the set of
A.V. Litavrin
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Transposition Regular AG-Groupoids and Their Decomposition Theorems
Mathematics, 2022 In this paper, we introduce transposition regularity into AG-groupoids, and a variety of transposition regular AG-groupoids (L1/R1/LR, L2/R2/L3/R3-groupoids) are obtained. Their properties and structures are discussed by their decomposition theorems: (1)
Yudan Du, Xiaohong Zhang, Xiaogang An
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Convolution algebras for topological groupoids with locally compact fibres [PDF]
Opuscula Mathematica, 2011 The aim of this paper is to introduce various convolution algebras associated with a topological groupoid with locally compact fibres. Instead of working with continuous functions on \(G\), we consider functions having a uniformly continuity property on ...
Mădălina Roxana Buneci
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Mathematics, 2020 Based on the theories of AG-groupoid, neutrosophic extended triplet (NET) and semigroup, the characteristics of regular cyclic associative groupoids (CA-groupoids) and cyclic associative neutrosophic extended triplet groupoids (CA-NET-groupoids) are ...
Wangtao Yuan, Xiaohong Zhang
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