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On spectrum of medial T2-quasigroups
Authors: A. V. Scerbacova, Şcerbacov Victor
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Abstract
There exist medial $T_2$-quasigroups of any order of the form $$2^{\,k_1} 3^{k_2} 5^{k_3} 11^{k_4} 17^{k_5} 23^{k_6} 53^{k_7} 59^{k_8} 83^{k_9} 101^{k_{10}} p_1^{\alpha_1} p_2^{\alpha_2} \dots p_m^{\alpha_m}, $$ where $k_1\geq 2$, $k_2, \dots, k_{10} \geq 1$, $p_i$ are prime numbers of the form $6t+1$, $\alpha_i \in \mathbb N$, $i\in \{1 , \dots, m\}$. Some other results on $T_2$-quasigroups are given.A. V. Scerbacova
Gubkin Russian State Oil and Gas University
Leninsky Prospect, 65, Moscow 119991
Russia
E-mail:
V. A. Shcherbacov
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
Academiei str. 5, MD−2028 Chisinau
Moldova
E-mail:
Gubkin Russian State Oil and Gas University
Leninsky Prospect, 65, Moscow 119991
Russia
E-mail:
V. A. Shcherbacov
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
Academiei str. 5, MD−2028 Chisinau
Moldova
E-mail:
Fulltext
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Contents
- Lacunary Ideal Convergence in Probabilistic Normed Space
- The multiplicative Zagreb co-indices on two graph operators
- On Lagrange algorithm for reduced algebraic irrationalities
- Asymmetric ID-Based Encryption System, Using an Explicit Pairing Function of the Reciprocity Law
- Almost periodicity of functions on universal algebras
- Lattice of all topologies of countable module over countable rings
- Stationary Nash Equilibria for Average Stochastic Games with Finite State and Action Spaces
- General form transversals in groups
- Operations on level graphs of bipolar fuzzy graphs
- On pseudoisomorphy and distributivity of quasigroups
- On spectrum of medial T2-quasigroups
