Author(s)

Suha Ahmed Wazzan

Department of Mathematics, Science Faculty, King Abdulaziz University, Jeddah, Saudia Arabia.

In [1], a new consequence of the (restricted) wreath product for arbitrary monoids A and B with an underlying set . Let us denote it by . Actually, in the same reference, it has been also defined the generating and relator sets for , and then proved some finite and infinite cases about it. In this paper, by considering the product, we show Green’s relations L and R as well as we present the conditions for this product to be left cancellative, orthodox and finally left (right) inverse(s).

Wreath Product, Green’s Relations, Left Cancellative Monoids, Orthodox Monoids, Left (Right) Inverse

Wazzan, S. (2019) New Properties over a New Type of Wreath Products on Monoids. Advances in Pure Mathematics, 9, 629-636. doi: 10.4236/apm.2019.98032.