NOTES ON DIAGONAL ACTS OVER INVARIANT SEMIGROUPS
Abstract
The diagonal acts and biacts over right or left invariant semigroups are considered. It is proved that the diagonal right act (S x S)S of such semigroup S is not finitely generated in case of invariant right or left invariant semigroup.Moreover, it is proved that this statement is wrong in case of biactss(S x S)S .Besides an example is constructed where S is an infinite right simple (and therefore right invariant) right cancellative semigroup and the biactss(S x S)S is cyclic.
About the Authors
T. . Apraksina
National Research University of Electronic Technology
Russian Federation
Russian Federation
I. . Kozhukhov
National Research University of Electronic Technology
Russian Federation
Russian Federation
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