Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
General Method for Defining Finite Non-commutative Associative Algebras of Dimension m>1
Authors: A. A. Moldovyan
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Abstract
General method for defining non-commutative finite associative algebras of arbitrary dimension $m\ge 2$ is discussed. General formulas describing local unit elements (the right-, left-, and bi-side ones), square roots of zero and zero divisors are derived. For arbitrary value $m$ the single bi-side unit corresponds to every element of the algebra, except the square roots from zero. Various modifications of the multiplication operation can be assigned using different sets of the values of structural coefficients. It is proved that all of the modifications are mutually associative.St. Petersburg Institute for Informatics and Automation
of Russian Academy of Sciences
14-th line 39, 199178, St. Petersburg
Russia
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of Russian Academy of Sciences
14-th line 39, 199178, St. Petersburg
Russia
E-mail:
Fulltext
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Contents
- Quotient Structure and Chain Conditions on Quasi Modules
- On statistical convergence in generalized Lacunary sequence spaces
- Aspects of stability for multicriteria quadratic problems of Boolean programming
- Solution and full classification of generalized binary functional equations of the type (3;3;0)
- On the solvability of a class of boundary value problems for systems of the integral equations with power nonlinearity on the whole axis
- Isohedral tilings by 8-, 10- and 12-gons for hyperbolic translation group of genus two
- Some properties of left-transitive quasigroups
- General Method for Defining Finite Non-commutative Associative Algebras of Dimension m>1
- Closure operators in modules and adjoint functors, II
- Later developments based on some ideas of Andrunachievici: Special radicals and The Lemma
- Corrigendum to "The multiplicative Zagreb co-indices on two graph operators" Bul. Acad. Științe Repub. Mold. Mat., 2016, no. 2(81), 18-26
