# On half-factoriality of transfer Krull monoids

@article{Gao2020OnHO, title={On half-factoriality of transfer Krull monoids}, author={Weidong Gao and Chao Liu and Salvatore Tringali and Qinghai Zhong}, journal={Communications in Algebra}, year={2020}, volume={49}, pages={409 - 420} }

Abstract Let H be a transfer Krull monoid over a subset G 0 of an abelian group G with finite exponent. Then every non-unit can be written as a finite product of atoms, say The set of all possible factorization lengths k is called the set of lengths of a, and H is said to be half-factorial if for all We show that, if is a non-unit and then the smallest divisor-closed submonoid of H containing a is half-factorial. In addition, we prove that, if G 0 is finite and then H is half-factorial.

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