S. Larson, f-rings in which every maximal ideal contains finitely many minimal prime ideals, Comm. Algebra, 25(12) (1997) 3859-3888.S. Larson, f -Rings in which every maximal ideal contains finitely many minimal prime ideals, Comm. Algebra 25(12) (1997), 3859-3888....
Nestled in a picturesque setting, this unit is just a 5-minute walk to the famous Manitou Incline—ideal for hiking enthusiasts. Located in the heart of town, you’re within walking distance of vibrant attractions, charming shops, delightful eateries, and cultural landmarks.Prime Location: ...
Sun, Shu-Hao (1991) Noncommutative rings in which every prime ideal is contained in a unique maximal ideal. J. Pure Appl. Algebra 76: pp. 179-192Sun S H. Noncommutative rings in which every prime ideal is contained in a unique maximal ideal[J ] . J . of Pure and Applied Algebra ,...
A Q-ring is a commutative ring in which every ideal is a product of primary ideals. We show that R is a Q-ring if and only if R is a Laskerian ring (every ideal has a primary decomposition) and every nonmaximal prime ideal of R is finitely generated and locally principal. We also...
Sylow towerSylow subgroupnormalizerIn this paper, we prove that if every non-nilpotent maximal subgroup of a finite group G has prime index then G has a Sylow tower.doi:10.1142/S0219498818501190Jiangtao ShiJournal of Algebra & Its Applications...
FINITE groupsLet G be a finite group in which every non-nilpotent maximal subgroup has prime index and p the largest prime divisor of | G | , without using the solvability of G we prove that either the Sylow p -subgroup of G is normal or G has a normal p -complement....
An R-module M is called a multiplication module if for each submodule N of M, N = IM for some ideal I of R. An R-module M is called a pm-module, i.e., M is pm, if every prime submodule of M is contained in a unique maximal submodule of M. In this paper the following ...