[HTML][HTML] On the index of reducibility in Noetherian modules

NT Cuong, PH Quy, H Le Truong - Journal of Pure and Applied Algebra, 2015 - Elsevier
Let M be a finitely generated module over a Noetherian ring R and N be a submodule. The
index of reducibility ir M (N) is the number of irreducible submodules that appear in an …

On the irreducible components of an ideal

W Heinzer, LJ Ratliff Jr, K Shah - Communications in Algebra, 1997 - Taylor & Francis
Let I be an M-primary ideal in a local ring (R, M) and let irr (I) denote the set of irreducible
components of I, where an ideal q is an irreducible component of I if q occurs as a factor in …

On the embedded primary components of submodules

W Morariu - Communications in Algebra, 1997 - Taylor & Francis
William Heinzer, LJ Ratliff, Jr., and Kishor Shah studying the embedded primary components
of an ideal I in a local Noetherian ring (R, M), have introduced the concept of a MEC …

On modules with primary and irreducible decomposition

W Morariu - Communications in Algebra, 2000 - Taylor & Francis
In her famous paper" Idealtheorie in Ringbereichen" Emmy Noether considered four
different types of decomposition of an ideal in a Noetherian ring, the first of these is the …

[引用][C] On the index of reducibility in Noetherian modules

HQ Pham, TC Nguyen, LT Hoang - 2015 - North-Holland

[引用][C] Phân tích bất khả quy của iđêan đơn thức

TTT Nguyễn - Tạp chí Khoa học-Trường Đại học Sư phạm Hà Nội 2, 2020