Abstract
Abstract
For a ring R and an endomorphism $$\alpha $$
α
of R, we provide a full description of left and right singular ideals of the skew Hurwitz polynomial ring $$(hR,\alpha )$$
(
h
R
,
α
)
. We obtain that if $$\alpha $$
α
is an automorphism of R, then R is right (resp., left) nonsingular if and only if $$ (hR,\alpha ) $$
(
h
R
,
α
)
is right (resp., left) nonsingular. We give an example of a ring R and an endomorphism $$\alpha $$
α
of R such that the skew Hurwitz polynomial ring $$(hR,\alpha )$$
(
h
R
,
α
)
is left nonsingular, but not right nonsingular.
Publisher
Springer Science and Business Media LLC
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