Serial factorizations of right ideals
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DOI: 10.1016/j.jpaa.2018.02.030
Abstract: In a Dedekind domain $D$, every non-zero proper ideal $A$ factors as a product $A=P_1^{t_1}\cdots P_k^{t_k}$ of powers of distinct prime ideals $P_i$. For a Dedekind domain $D$, the $D$-modules $D/P_i^{t_i}$ are uniserial. We extend… read more here.
Keywords: serial factorizations; factorizations right; right ideals;
Associated primes and primary right ideals of generalized triangular matrix rings
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Algebra"
DOI: 10.1080/00927872.2018.1508579
Abstract: Abstract Let be an (S, R)-bimodule of the rings R and S. We determine the associated primes of a formal triangular matrix ring Indeed, we show that We then obtain necessary and sufficient conditions for… read more here.
Keywords: triangular matrix; matrix; right ideals; associated primes ... See more keywords