Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Free left k-nilpotent n-tuple semigroups
Authors: Anatolii V. Zhuchok, Yuliia V. Zhuchok, Oksana O. Odintsova
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Abstract
We introduce left (right) $k$-nilpotent $n$-tuple semigroups which are analogs of left (right) nilpotent semigroups of rank $p$ considered by Schein, and construct the free left (right) $k$-nilpotent $n$-tuple semigroup of rank $1$. We prove that the free left (right) $k$-nilpotent $n$-tuple semigroup of rank $m>1$ is a subdirect product of the free left (right) $k$-nilpotent semigroup with $m$ generators and the free left (right) $k$-nilpotent $n$-tuple semigroup of rank $1$. We also characterize the least left (right) $k$-nilpotent congruence on the free $n$-tuple semigroup.Anatolii V. Zhuchok, Yuliia V. Zhuchok
Department of Algebra and System Analysis, Luhansk
Taras Shevchenko National University, Gogol square, 1,
Starobilsk 92703, Ukraine
E-mail: ,
Oksana O. Odintsova
Department of Mathematics, ”A. S. Makarenko” Sumy
State Pedagogical University, street Romenska, 87, Sumy
40002, Ukraine
E-mail:
Department of Algebra and System Analysis, Luhansk
Taras Shevchenko National University, Gogol square, 1,
Starobilsk 92703, Ukraine
E-mail: ,
Oksana O. Odintsova
Department of Mathematics, ”A. S. Makarenko” Sumy
State Pedagogical University, street Romenska, 87, Sumy
40002, Ukraine
E-mail:
Fulltext
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Contents
- On solutions of the kinetic McKean system
- Coincidence and common fixed points theorem with an application in dynamic programming
- Free left k-nilpotent n-tuple semigroups
- Almost Periodic and Almost Automorphic Solutions of Monotone Differential Equations with a Strict Monotone First Integral*
- On semigroups of endomorphisms of universal algebras
- An analogue of Bremermann’s theorem on finding the Bergman kernel for the Cartesian product of the classical domains ℜI (m, k) and ℜII (n)
- Numerical simulation of nonlinear processes in semiconductor devices with the application of the Newtons method for linearization
