Finite derivation type for some algebric structures
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Abstract (EN)
Let S be a semigroup and let r be a congruence on S. In this thesis, r is considered a subsemigroup of Sx S and it is shown that if r has finite derivation type (FDT), then so does S. In addition to this, let M be monoid and let T be a submonoid of finite index in M (that is, M is small extension of T). It is shown that if T has FDT, then so does M. Let Y be a semilattice, S(a) (a in Y) be a family of disjoint semigroups and let S be a strong semilattice of semigroups. It is shown that the semigroup S has FDT if and only if Y is finite and every semigroup S(a) (a in Y) has FDT.
Author
Vesile İncesu
How to Cite
Vesile İncesu (Master Thesis). Finite derivation type for some algebric structures, 2015, Osmaniye Korkut Ata University.
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