Rank and idempotent rank of finite full transformation semigroups with restricted range
Let T(X) be the full transformation semigroup on the set X and let T(X,Y) be the semigroup consisting of all total transformations from X into a fixed nonempty subset Y of X. In 2011, Sanwong studied the regular part F(X,Y) = {α ∈ T(X,Y):Xα ⊆ Y α}, of T(X,Y) and described its Green's relations...
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th-cmuir.6653943832-527482018-09-04T09:31:29Z Rank and idempotent rank of finite full transformation semigroups with restricted range Worachead Sommanee Jintana Sanwong Mathematics Let T(X) be the full transformation semigroup on the set X and let T(X,Y) be the semigroup consisting of all total transformations from X into a fixed nonempty subset Y of X. In 2011, Sanwong studied the regular part F(X,Y) = {α ∈ T(X,Y):Xα ⊆ Y α}, of T(X,Y) and described its Green's relations and ideals. In this paper, we compute the rank of F(X,Y) when X is a finite set. Moreover, we obtain the rank and idempotent rank of its ideals. © 2013 Springer Science+Business Media New York. 2018-09-04T09:31:29Z 2018-09-04T09:31:29Z 2013-08-01 Journal 00371912 2-s2.0-84880590197 10.1007/s00233-013-9467-x https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84880590197&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52748 |
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Mathematics |
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Mathematics Worachead Sommanee Jintana Sanwong Rank and idempotent rank of finite full transformation semigroups with restricted range |
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Let T(X) be the full transformation semigroup on the set X and let T(X,Y) be the semigroup consisting of all total transformations from X into a fixed nonempty subset Y of X. In 2011, Sanwong studied the regular part F(X,Y) = {α ∈ T(X,Y):Xα ⊆ Y α}, of T(X,Y) and described its Green's relations and ideals. In this paper, we compute the rank of F(X,Y) when X is a finite set. Moreover, we obtain the rank and idempotent rank of its ideals. © 2013 Springer Science+Business Media New York. |
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Journal |
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Worachead Sommanee Jintana Sanwong |
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Worachead Sommanee Jintana Sanwong |
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Worachead Sommanee |
| title |
Rank and idempotent rank of finite full transformation semigroups with restricted range |
| title_short |
Rank and idempotent rank of finite full transformation semigroups with restricted range |
| title_full |
Rank and idempotent rank of finite full transformation semigroups with restricted range |
| title_fullStr |
Rank and idempotent rank of finite full transformation semigroups with restricted range |
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Rank and idempotent rank of finite full transformation semigroups with restricted range |
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rank and idempotent rank of finite full transformation semigroups with restricted range |
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2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84880590197&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52748 |
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