Geodesic
COMPLETELY PRIME ONE-SIDED IDEALS IN SKEW POLYNOMIAL RINGS
Glasgow mathematical journal, Tome 64 (2022) no. 1, pp. 114-121

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DOI

Let R = K[x, σ] be the skew polynomial ring over a field K, where σ is an automorphism of K of finite order. We show that prime elements in R correspond to completely prime one-sided ideals – a notion introduced by Reyes in 2010. This extends the natural correspondence between prime elements and prime ideals in commutative polynomial rings. 
ALON, GIL; PARAN, ELAD. COMPLETELY PRIME ONE-SIDED IDEALS IN SKEW POLYNOMIAL RINGS. Glasgow mathematical journal, Tome 64 (2022) no. 1, pp. 114-121. doi: 10.1017/S0017089520000634
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     author = {ALON, GIL and PARAN, ELAD},
     title = {COMPLETELY {PRIME} {ONE-SIDED} {IDEALS} {IN} {SKEW} {POLYNOMIAL} {RINGS}},
     journal = {Glasgow mathematical journal},
     pages = {114--121},
     year = {2022},
     volume = {64},
     number = {1},
     doi = {10.1017/S0017089520000634},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000634/}
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