Zobrazeno 1 - 10
of 119
pro vyhledávání: '"20M15"'
Autor:
Gutik, Oleg, Shchypel, Maksym
Publikováno v:
Bukovinian Mathematical Journal. 12, 2 (Dec. 2024), 60-68
We study algebraic properties of the semigroup $\mathscr{O\!\!I\!}_n(L)$ of finite partial order isomorphisms of the rank $\leq n$ of an infinite linearly ordered set $(L,\leqslant)$. In particular we describe its idempotents, the natural partial ord
Externí odkaz:
http://arxiv.org/abs/2411.03268
Autor:
Gutik, Oleg, Penza, Sher-Ali
Let $\mathscr{C}_{+}(a,b)$ be the submooid of the bicyclic monoid which which is studied in \cite{Makanjuola-Umar=1997}. We describe monoid endomorphisms of the semigroup $\mathscr{C}_{+}(a,b)$ which are generated by the family of all congruences of
Externí odkaz:
http://arxiv.org/abs/2408.11802
Autor:
Sohail, Nasir
A semigroup amalgam (S; T1, T2) is known to be non-embeddable if T1 and T2 are both groups (completely regular semigroups, Clifford semigroups) but S is not such. We prove some non-embeddability conditions for semigroup amalgams (S; T1, T2) in which
Externí odkaz:
http://arxiv.org/abs/2406.05739
Autor:
Gutik, Oleg, Pozdniakova, Inna
Publikováno v:
Visnyk of the Lviv University. Series Mechanics and Mathematics, 2023. Vol. 95. P. 14--27
We study the semigroup of non-injective monoid endomorphisms of the semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ with a two-elements family $\mathscr{F}$ of inductive nonempty subsets of $\omega$. We describe the structure of elements of the sem
Externí odkaz:
http://arxiv.org/abs/2402.12386
Autor:
Nagy, Attila, Tóth, Csaba
In this paper we deal with the following problem: how does the structure of a finite semigroup $S$ depend on the probability that two elements selected at random from $S$, with replacement, define the same inner right translation of $S$. We solve a s
Externí odkaz:
http://arxiv.org/abs/2310.10281
Autor:
Kudryavtsev, Dmitry
In this paper the concept of local embeddability into finite structures (being LEF) for the class of semigroups is expanded with investigations of non-LEF structures, a closely related generalising property of local wrapping of finite structures (bei
Externí odkaz:
http://arxiv.org/abs/2310.04235
Autor:
Gutik, Oleg, Pozdniakova, Inna
Publikováno v:
Visnyk of the Lviv Univ. Series Mech. Math. 94 (2022), 32-55
We study injective endomorphisms of the semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ with the two-elements family $\mathscr{F}$ of inductive nonempty subsets of $\omega$. We describe the elements of the semigroup $\boldsymbol{End}^1_*(\boldsymbo
Externí odkaz:
http://arxiv.org/abs/2307.15481
Autor:
Romeo, P G, Jose, Riya
In this paper we illustrate the rule for finding number of idempotents in the doubly stochastic matrix $D_n$ and also locate the idempotents for the semigroups $D_3$ and $D_4$. Further describe idempotent generated ideals of these semigroups and it i
Externí odkaz:
http://arxiv.org/abs/2307.09889
Autor:
Gutik, Oleg, Mykhalenych, Mykola
Let $\mathscr{F}$ be a family of nonempty inductive subsets of ${\omega}$. It is proved that an injective endomorphism $\varepsilon$ of the semigroup $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ is the transformation if and only if $\varepsilon$ has three
Externí odkaz:
http://arxiv.org/abs/2306.07844
Autor:
Gutik, Oleg, Prokhorenkova, Oksana
Let $\mathscr{B}^+(G)$ be the bicyclic extension of a totally ordered group $G$ which is defined in [O. Gutik, D. Pagon, and K. Pavlyk, Congruences on bicyclic extensions of a linearly ordered group, Acta Comment. Univ. Tartu. Math. 15 (2011), no. 2,
Externí odkaz:
http://arxiv.org/abs/2306.01294