Ideals of the full transformation semigroup of a free left G-act on n-generators

Asawer Al-Aadhami ยท AIP conference proceedings ยท 2024

Let ๐’ฏ๐‘ญ๐’(๐‘ฎ) be the full transformation semigroup of a free (left) ๐บ-act on n-generators, where ๐บ is any finite group, and Fn(G)=โˆชห™i=1nGxi is a free (left) ๐บ-act of ๐‘Ÿ๐‘Ž๐‘›๐‘˜ ๐‘›. Throughout this article the ideals for the full transformation semigroup ๐’ฏ๐’, and for the full transformation semigroup of a free (left) ๐บ-act on n -generators ๐’ฏ๐‘ญ๐’(๐‘ฎ), has been considered in terms of an element ๐œ€โˆˆ๐’ฏ๐’).

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