TITLE:
New Properties over a New Type of Wreath Products on Monoids
AUTHORS:
Suha Ahmed Wazzan
KEYWORDS:
Wreath Product, Green’s Relations, Left Cancellative Monoids, Orthodox Monoids, Left (Right) Inverse
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.9 No.8,
August
30,
2019
ABSTRACT: 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).