منابع مشابه
Dynamical Theory of Generalized Matrices
Group theoretical analysis has been applied successfully to a wide range of physical systems because they are often invariant under certain transformations, and such symmetry transformations, in many cases, form a group. Matrices can represent the action of such group elements. Among physical quantities, the spin variables (on which representation matrices of su(2) operate) have played importan...
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1. The importance of the concept group-matrix in the theory of finite groups was recognized by Dedekind as early as 1880. The development of a general theory of group-matrices is due, however, to Frobenius, (Berliner Sitzungsberichte, from 1896 to the present). In particular, Frobenius has applied the theory to the representation of a finite group as a (non-modular) linear group. Since linear c...
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An element $a$ in a ring $R$ is very clean in case there exists an idempotent $ein R$ such that $ae = ea$ and either $a- e$ or $a + e$ is invertible. An element $a$ in a ring $R$ is very $J$-clean provided that there exists an idempotent $ein R$ such that $ae = ea$ and either $a-ein J(R)$ or $a + ein J(R)$. Let $R$ be a local ring, and let $sin C(R)$. We prove that $Ain K_...
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In this paper, the concept of k-regular fuzzy matrix as a general- ization of regular matrix is introduced and some basic properties of a k-regular fuzzy matrix are derived. This leads to the characterization of a matrix for which the regularity index and the index are identical. Further the relation between regular, k-regular and regularity of powers of fuzzy matrices are dis- cussed.
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In this paper, the basic constitutive equations and equations of motion are derived to describe the behavior of thermoelastic porous piezoelectric medium by using Biot’s theory and the theory of generalized thermoelasticity with on relaxation time (Lord-Shulman). The electrical enthalpy density function is derived in the general coordinates. Also, clear definitions for the poroelastic modulus, ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1982
ISSN: 0021-8693
DOI: 10.1016/0021-8693(82)90242-3