Results 11 to 20 of about 87 (62)
On the lattice of weak topologies on the bicyclic monoid with adjoined zero [PDF]
Algebra and Discrete Mathematics, 2020 A Hausdorff topology τ on the bicyclic monoid with adjoined zero C0 is called weak if it is contained in the coarsest inverse semigroup topology on C0. We show that the lattice W of all weak shift-continuous topologies on C0 is isomorphic to the lattice SIF1×SIF1 where SIF1 is the set of all shift-invariant filters on ω with an attached element 1 ...
Bardyla, S., Gutik, O.
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Closed subsets of compact-like topological spaces [PDF]
Applied General Topology, 2020 We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open ...
Serhii Bardyla, Alex Ravsky
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On some generalization of the bicyclic monoid
Visnyk Lvivskogo Universytetu. Seriya Mekhaniko-Matematychna, 2020 13 pages, in ...
Gutik, Oleg, Mykhalenych, Mykola
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On a complete topological inverse polycyclic monoid
Karpatsʹkì Matematičnì Publìkacìï, 2016 We give sufficient conditions when a topological inverse $\lambda$-polycyclic monoid $P_{\lambda}$ is absolutely $H$-closed in the class of topological inverse semigroups.
S.O. Bardyla, O.V. Gutik
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On topologization of subsemigroups of the bicyclic monoid
We show that if a subsemigroup \(S\) of the bicyclic monoid \({\mathcal{C}}(p,q)\) contains infinitely many idempotents, then \(S\) admits only the discrete Hausdorff shift-continuous topology. Also we proof that every right-continuous (left-continuous) Hausdorff Baire topology on the upper subsemigroup \(\mathcal{C}_+(a,b)\) (down subsemigroup ...
Chornenka, Adriana, Gutik, Oleg
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Jucys-Murphy elements and Grothendieck groups for generalized rook monoids
, 2022 We consider a tower of generalized rook monoid algebras over the field $\mathbb{C}$ of complex numbers and observe that the Bratteli diagram associated to this tower is a simple graph.
Mazorchuk, vomaz677 +4 more
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On homomorphisms of bicyclic extensions of archimedean totally ordered groups
, 2023 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.
Prokhorenkova, Oksana, Gutik, Oleg
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Dirichlet Convolution, Bicyclic Semigroup and the Breaking Process
, 2013 The paper deals with certain breaking processes using a compatible partition of a monoid. We introduce the broken Dirichlet convolution and the broken bicyclic semigroup.
Schwab, Emil D.
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Geometry and algorithms for upper triangular tropical matrix identities [PDF]
, 2019 We provide geometric methods and algorithms to verify, construct and enumerate pairs of words (of specified length over a fixed m-letter alphabet) that form identities in the semigroup UT_n(T) of n x n upper triangular tropical matrices.
Tran, Ngoc +3 more
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The bicyclic semigroup as the quotient inverse semigroup by any gauge inverse submonoid
, 2022 Every gauge inverse submonoid (including Jones-Lawson's gauge inverse submonoid of the polycyclic monoid $P_{n}$) is a normal submonoid. In 2018, Alyamani and Gilbert introduced an equivalence relation on an inverse semigroup associated to a normal ...
Daniel Schwab, Emil
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