# Matrix ring

Xem 1-8 trên 8 kết quả Matrix ring
• ### Certain strongly clean matrices over local rings

We are concerned about various strongly clean properties of a kind of matrix subrings L(s)(R) over a local ring R. Let R be a local ring, and let s ∈ C(R). We prove that A ∈ L(s)(R) is strongly clean if and only if A or I2−A is invertible, or A is similar to a diagonal matrix in L(s)(R).

• ### Some properties of e-symmetric rings

In this paper, we first give some characterizations of e-symmetric rings. We prove that R is an e-symmetric ring if and only if a1a2a3 = 0 implies that aσ(1)aσ(2)aσ(3)e = 0, where σ is any transformation of {1, 2, 3}. With the help of the Bott–Duffin inverse.

• ### Matrix Reimprinting Using EFT

I created Matrix Reimprinting in 2006, but the story of how I arrived at the technique starts many yea rs earlier in 1987. At 211 had what can only be described as a profound spontaneous spi ritual experience. For the two yea rs that led up to this experience, I had an incessant need to spend time alone. As a social person who had always enjoyed the company of others, this was very new to me. Many l ife issues got in the way of finding time to be alone d u ring this period, but eventually, in the summer of '87, I secured a hol iday...

• ### Combining Euclidean and adequate rings

We shall prove that an E-adequate ring is an elementary divisor ring if and only if it is a Hermite ring. Elementary matrix reduction over such rings is also studied. We thereby generalize Domsha, Vasiunyk, and Zabavsky’stheorems to a much wider class of rings.

• ### Guide to application of the Machinery Directive 2006/42/EC

Seats for gate valves are either provided integral with the valve body or in a seat ring type of construction. Seat ring construction provides seats which are either threaded into position or are pressed into position and seal welded to the valve body. The latter form of construction is recommended for higher temperature service. Integral seats provide a seat of the same material of construction as the valve body while the pressed-in or threaded-in seats permit variation. Rings with hard facings may be supplied for the application where they are required.

• ### abstract algebra - theory and applications: part 2

(bq) part 2 book "abstract algebra - theory and applications" has contents: matrix groups and symmetry, group actions, the sylow theorems, rings, polynomials, integral domains, lattices and boolean algebras, lattices and boolean algebras, vector spaces, galois theory, hints and solutions, finite fields.

• ### The reversibility problem for a family of two-dimensional cellular automata

In this paper the reversibility problem of a family of two-dimensional cellular automata is completely resolved. It is well known that the reversibility problem is a very difficult one in general. In order to determine whether a cellular automaton is reversible or not the reversibility of its rule matrix is studied via linear algebraic tools.

• ### Đề tài " Quiver varieties and tanalogs of q-characters of quantum affine algebras "

We consider a specialization of an untwisted quantum aﬃne algebra of type ADE at a nonzero complex number, which may or may not be a root of unity. The Grothendieck ring of its ﬁnite dimensional representations has two bases, simple modules and standard modules. We identify entries of the transition matrix with special values of “computable” polynomials, similar to Kazhdan-Lusztig polynomials. At the same time we “compute” q-characters for all simple modules. The result is based on “computations” of Betti numbers of graded/cyclic quiver varieties.