Let S2 be the p-primary second Morava stabilizer group, C a supersingular elliptic curve over Fp, O the ring of endomorphisms of C, and ` a topological generator of Zp (respectively Z2 /{±1} if p = 2). We show that for p > 2 the group Γ ⊆ O[1/`]× of quasi-endomorphisms of degree a power of ` is dense in S2. For p = 2, we show that Γ is dense in an index 2 subgroup of S2. AMS classification: Pri...

The set of all endomorphisms over -module is a non-empty denoted by . From we can construct the ring addition and composition function. prime ideal an which satisfies properties like numbers. In this paper, take integer number module such that ring. Furthermore, show existences on We also applied property to

Let K be a field with char(K) 6= 2. Let us fix an algebraic closure Ka of K. Let us put Gal(K) := Aut(Ka/K). If X is an abelian variety of positive dimension over Ka then we write End(X) for the ring of all its Ka-endomorphisms and End (X) for the corresponding (semisimple finite-dimensional) Q-algebra End(X)⊗ Q. We write EndK(X) for the ring of all K-endomorphisms of X and End 0 K(X) for the c...

Let $S=End(M)$ be the ring of endomorphisms a right $R$-module M. In this paper we define minus parital order for endomorphism modules. Also, extend study partial to (Rickart) module. Thus several well-known results concerning are generalized.

Following the definition of quantum differential operators given in [LR1], we show that the ring of quantum differential operators on the affine line is the ring generated by x and ∂, the familiar differential operators on the line, along with two additional operators which we call ∂ 1 and ∂ −1 . We describe this ring both as a subring of the ring of graded endomorphisms and as a ring given by ...

It is shown that the Baer–Kaplansky Theorem can be extended to all abelian groups provided rings of endomorphisms are replaced by trusses corresponding heaps. That is, every group determined up isomorphism its endomorphism truss and between two associated some [Formula: see text] induced an element from text]. This correspondence then modules over a ring considering heaps modules. proved heap m...

In this paper we initiate a new approach consisting to characterize the commutativity of quotient ring $R/P$ by endomorphisms $R$ satisfying some algebraic identities involving prime ideal $P.$ Some well-known results concerning (semi-prime) rings have been improved.