We give some generalizations of proximal
relation and distal structure relation of a
transformation semigroup in terms of <mml:math alttext="$A$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>A</mml:mi></mml:math>-<mml:math alttext="$\overline{\mathrm{minimal}}$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mover accent="true"><mml:mrow><mml:mtext>minimal</mml:mtext></mml:mrow><mml:mo stretchy="true">&#175;</mml:mo></mml:mover></mml:math> sets and <mml:math alttext="$A$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>A</mml:mi></mml:math>-<mml:math alttext="$\overline{\overline{\mathrm{minimal}}}$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mover accent="true"><mml:mover accent="true"><mml:mrow><mml:mtext>minimal</mml:mtext></mml:mrow><mml:mo stretchy="true">&#175;</mml:mo></mml:mover><mml:mo stretchy="true">&#175;</mml:mo></mml:mover></mml:math> sets instead of minimal right ideals and conclude similar results.

<mml:math alttext="$a$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>a</mml:mi></mml:math>-minimal sets and related topics in transformation semigroups (II)


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International Journal of Mathematics and Mathematical Sciences

a-minimal sets and related topics in transformation semigroups (II)

Abstract

Copyright