FINITE PRESENTABILITY OF BRUCK–REILLY EXTENSIONS OF CLIFFORD MONOIDS

Catarina Carvalho, Nik Ruškuc · Journal of Algebra and Its Applications · 2007

Let M be a Clifford monoid and let θ be an endomorphism of M. We prove that if the Bruck–Reilly extension BR(M, θ) is finitely presented then M is finitely generated. This allows us to derive necessary and sufficient conditions for Bruck–Reilly extensions of Clifford monoids to be finitely presented.

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