2 papers
cs.IT2026
Free and projective LCD codes
Dominik Krasula
LCD codes over finite commutative chain rings are known to be free. However, if the ring is not indecomposable, there always exists an LCD ideal that is projective but not free. We…
math.AC2022
Restricted minimum condition in reduced commutative rings
Dominik Krasula
We say that a commutative ring R satisfies the restricted minimum (RM) condition if for all essential ideals I in R, factor R/I is an Artinian ring. We will focus on Noetherian red…