期刊： JOURNAL OF COMMUTATIVE ALGEBRA, 2021; 13 (2)
We develop a local cohomology theory for FIm-modules, and show that it in many ways mimics the classical theory for multigraded modules over a polynom......
期刊： JOURNAL OF COMMUTATIVE ALGEBRA, 2021; 13 (2)
It was shown by Kang (1989) that a domain R is a Krull domain if and only if R is a Mori domain and a PvMD. In this paper, we extend this result to Go......
期刊： JOURNAL OF COMMUTATIVE ALGEBRA, 2020; 12 (2)
A quaternion rational surface is a rational surface generated by two rational space curves via quaternion multiplication. In general, the structure of......
期刊： JOURNAL OF COMMUTATIVE ALGEBRA, 2020; 12 (3)
In this paper, we characterize Prufer v-multiplication domains as integral domains which have the property that the existence of a generalized solutio......
期刊： JOURNAL OF COMMUTATIVE ALGEBRA, 2019; 11 (1)
Let H be a Krull monoid with class group G. Then, H is factorial if and only if G is trivial. Sets of lengths and sets of catenary degrees are well st......
期刊： JOURNAL OF COMMUTATIVE ALGEBRA, 2018; 10 (2)
The unitary Cayley graph of a ring R is the simple graph whose vertices are the elements of R, and where two distinct vertices x and y are linked by a......
