This paper studies algebraic properties concerning the p-primitive annihilators of languages. The p-primitive annihilators of languages contains left P1-annihilators and right P1-annihilators. There are some interesting results presented in this paper. Such as: for every finite language L, the left P1-annihilator of L is not equal to the right P1annihilator of L, the set γP1(L) is not regular f...

This paper investigates when local cohomology modules have an annihilator that does not depend on the choice of ideal. Takahashi classified dominant resolving subcategories category finitely generated over a commutative Noetherian ring. We show his classification theorem describes annihilation results finite-dimensional ring with certain assumptions or Cohen-Macaulay

for a fixed positive integer , we say a ring with identity is n-generalized right principally quasi-baer, if for any principal right ideal of , the right annihilator of is generated by an idempotent. this class of rings includes the right principally quasi-baer rings and hence all prime rings. a certain n-generalized principally quasi-baer subring of the matrix ring are studied, and connections...

In the theory of modules over commutative rings there are several possibilities of defining associated prime ideals. The usual definition of an associated prime ideal p for a module M is that p is the annihilator of an element of M . In [2] §1 exercise 17 a generalization of this notion is given. p is called weakly associated (faiblement associé) to M if p is minimal in the set of the prime ide...

Let K be an arbitrary field of characteristic not equal to 2. Let m,n ∈ N and V be an m dimensional orthogonal space over K. There is a right action of the Brauer algebra Bn(m) on the n-tensor space V ⊗n which centralizes the left action of the orthogonal group O(V ). Recently G.I. Lehrer and R.B. Zhang defined certain quasiidempotents Ei in Bn(m) (see (1.1)) and proved that the annihilator of ...

Introduction. In this paper we give a sufficient condition that an algebra have a minimal left (or right) ideal. Specifically, we prove that if A is a complex semisimple Banach algebra with the property that the spectrum of every element in A is at most countable, then A has a minimal left ideal. If A is an ^4*-algebra, we prove that A has a minimal left ideal if the spectrum of every self-adjo...