On Matrix Subalgebras Not Satisfying an Identity Of

ON SUBALGEBRAS OF n× n MATRICES NOT SATISFYING IDENTITIES OF DEGREE 2n− 2

The Amitsur-Levitzki theorem asserts that Mn(F ) satisfies a polynomial identity of degree 2n. (Here, F is a field and Mn(F ) is the algebra of n × n matrices over F ). It is easy to give examples of subalgebras of Mn(F ) that do satisfy an identity of lower degree and subalgebras of Mn(F ) that satisfy no polynomial identity of degree ≤ 2n − 2. In this paper we prove that the subalgebras of n ...

FUZZY CONVEX SUBALGEBRAS OF COMMUTATIVE RESIDUATED LATTICES

In this paper, we define the notions of fuzzy congruence relations and fuzzy convex subalgebras on a commutative residuated lattice and we obtain some related results. In particular, we will show that there exists a one to one correspondence between the set of all fuzzy congruence relations and the set of all fuzzy convex subalgebras on a commutative residuated lattice. Then we study fuzzy...

Role of Basic Psychological Needs in Moral Identity

Background: Moral commitments of therapists is the important subject that attracted the attention of researches in the field of medical ethics. The aim of this research was to investigate the relationship between basic psychological needs and moral identity among medical students. Method: The plan of this research is descriptive-correlation. Subjects were 140 medical interns of Shiraz Universi...

Quasi-orthogonal Subalgebras of Matrix Algebras@

In the theory of quantum mechanics, an n-level system is described by the algebra Mn =Mn(C) of n× n complex matrices. The matrix algebra of a composite system consisting of an n-level and an m-level system is Mn ⊗Mm ≃ Mnm. A subalgebra of Mk corresponds to a subsystem of a k-level quantum system. In this paper, subalgebras contain the identity and are closed under the adjoint operation of matri...

Existence of an Algebra Norm on Certain Subalgebras of C(X)