Author:
Ahmed Yaqoub,Dudek Wieslaw A.
Abstract
AbstractOn an additively inverse MA-semiring S we consider the additive mapping $$f:S\rightarrow S$$
f
:
S
→
S
satisfying the identity $$f(xy)=[x,f(y)]$$
f
(
x
y
)
=
[
x
,
f
(
y
)
]
, where [a, b] is a commutator of a and b. We investigate the properties of such a mapping and determine the commutativity of S using this mapping.
Funder
Wroclaw University of Science and Technology
Publisher
Springer Science and Business Media LLC
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