Search Results - "AYIK, HAYRULLAH"

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    Combinatorial results for semigroups of orientation-preserving and order-decreasing transformations by Dağdeviren, Ayşegül, Ayık, Gonca, Ayık, Hayrullah

    Published in Semigroup forum (01-02-2024)
    “…Let O P D n be the semigroup consisting of all orientation-preserving and order-decreasing full transformations on the finite chain X n = { 1 < ⋯ < n } , and…”
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    Journal Article
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    Isolated Subsemigroups of Order-Preserving and Decreasing Transformation Semigroups by Korkmaz, Emrah, Ayık, Hayrullah

    “…In this paper, we classify all isolated, completely isolated, and (left/right) convex subsemigroups of C n , the semigroup of all order-preserving and…”
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    Journal Article
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    Ranks of Certain Semigroups of Transformations Whose Restrictions are Elements of a Given Semigroup by Bugay, Leyla, Sönmez, Rukiye, Ayık, Hayrullah

    “…Let S n , I n , T n and P n be the symmetric group, symmetric inverse semigroup, (full) transformation semigroup and partial transformation semigroup on X n =…”
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    Journal Article
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    Generating Sets of Finite Transformation Semigroups PK(n, r) and K (n, r) by Ayık, Hayrullah, Bugay, Leyla

    Published in Communications in algebra (01-02-2015)
    “…Let P n and T n be the partial transformation and the full transformation semigroups on the set {1,..., n}, respectively. In this paper we find necessary and…”
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    Journal Article
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    The ranks of certain semigroups of partial isometries by Bugay, Leyla, Yağcı, Melek, Ayık, Hayrullah

    Published in Semigroup forum (01-10-2018)
    “…Let I n be the symmetric inverse semigroup on X n = { 1 , … , n } , and let D P n and O D P n be its subsemigroups of partial isometries and of…”
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    Journal Article
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    Combinatorial Results for Semigroups of Order-Preserving and A-Decreasing Finite Transformations by Bugay, Leyla, Yağcı, Melek, Ayık, Hayrullah

    “…For n ∈ N , let O n be the semigroup of all order-preserving transformations on the finite chain X n = { 1 , … , n } , under its natural order. For any…”
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    Journal Article
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    Minimal relative generating sets of some partial transformation semigroups by Yigit, Ebru, Ayik, Gonca, Ayik, Hayrullah

    Published in Communications in algebra (04-03-2017)
    “…Let , where S n is the symmetric group on X n and PK n,r is the semigroup of partial maps such that |im(α)| ≤ r for 1 ≤ r ≤ n − 1. In this paper, we find…”
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    Journal Article
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    Generating sets of finite singular transformation semigroups by Ayık, Gonca, Ayık, Hayrullah, Bugay, Leyla, Kelekci, Osman

    Published in Semigroup forum (01-02-2013)
    “…J.M. Howie proved that , the semigroup of all singular mappings of {1,…, n } into itself, is generated by its idempotents of defect 1 (in J. London Math. Soc…”
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    Journal Article
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    Presentations and efficiency of semigroups by Ayik, Hayrullah

    Published 01-01-1998
    “…In this thesis we consider in detail the following two problems for semigroups: (i) When are semigroups finitely generated and presented? (ii) Which families…”
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    Dissertation
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    The Semigroup Efficiency of Groups and Monoids by Ayik, Hayrullah, Campbell, C. M., O'Connor, J. J., Ruškuc, N.

    “…A finite semigroup (respectively monoid or group) S is said to be efficient if it can be defined by a semigroup (respectively monoid or group) presentation…”
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    Journal Article