Singular ideals of skew Hurwitz polynomial rings

• DOI: 10.1007/s12215-018-0377-3
• Publication Date: 2020-09-23T19:04:17Z
• Authors: Morteza Ahmadi
• Keywords: 0101 mathematics; 01 natural sciences

Abstract For a ring R and an endomorphism $$\alpha $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>α</mml:mi> </mml:math> of , we provide full description left right singular ideals the skew Hurwitz polynomial $$(hR,\alpha )$$ <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>h</mml:mi> <mml:mi>R</mml:mi> <mml:mo>,</mml:mo> <mml:mo>)</mml:mo> </mml:mrow> . We obtain that if is automorphism then (resp., left) nonsingular only (hR,\alpha ) nonsingular. give example such nonsingular, but not