A note on the ascending chain condition of ideals
We construct ascending chains of ideals in a commutative Noetherian ring R that reach
arbitrary long sequences of equalities, however the chain does not become stationary at that …
arbitrary long sequences of equalities, however the chain does not become stationary at that …
On the normality of a class of monomial ideals via the Newton polyhedron
Abstract Let I=\left ⟨ x_ 1^ a_ 1, ..., x_ n^ a_ n\right ⟩ ⊂ R= K x_ 1, ..., x_ n I= x 1 a 1,…,
xnan⊂ R= K x 1,…, xn with a_ 1, ..., a_ na 1,…, an positive integers and K a field, and let J …
xnan⊂ R= K x 1,…, xn with a_ 1, ..., a_ na 1,…, an positive integers and K a field, and let J …
On the reduction numbers of monomial ideals
I Al-Ayyoub - Journal of Algebra and Its Applications, 2020 - World Scientific
Let I be a monomial ideal in a polynomial ring with two indeterminates over a field. Assume I
is contained in the integral closure of some ideal that is generated by two elements from the …
is contained in the integral closure of some ideal that is generated by two elements from the …
[引用][C] The Ratliff–Rush reduction number of certain family of monomial ideals
I Al-Ayyoub, A Gharaibeh - Int. J. Pure Appl. Math, 2018