Rings with minimum condition

1956 ◽  
pp. 38-59
Keyword(s):  
Minimum Condition

On a strong minimum condition of a fractal variational principle

2021 ◽  
pp. 107199
Author(s):  
Ji-Huan He ◽  
Na Qie ◽  
Chun-hui He ◽  
Tareq Saeed
Keyword(s):  
Variational Principle ◽  
Minimum Condition

scholarly journals Diagonal Scaling of Ill-Conditioned Matrixes by Genetic Algorithm

2012 ◽  
Vol 8 (1) ◽  
pp. 49-53 ◽  
Author(s):  
Behrouz Vajargah ◽  
Mojtaba Moradi
Keyword(s):  
Genetic Algorithm ◽  
Condition Number ◽  
Minimum Condition ◽  
Diagonal Scaling

Diagonal Scaling of Ill-Conditioned Matrixes by Genetic AlgorithmThe purpose of this article is to use genetic algorithm for finding two invertible diagonal matricesD1andD2such that the scaled matrixD1AD2approaches to minimum condition number.

Opportunities in Web-Based Teaching

2000 ◽  
pp. 17-32 ◽  
Author(s):  
Orasa Tetiwat ◽  
Magid Igbaria
Keyword(s):  
Educational Level ◽  
Modern Technology ◽  
Minimum Condition ◽  
Educational Institutions ◽  
Traditional Learning ◽  
Web Based ◽  
Technological Infrastructure ◽  
Good Design ◽  
Learning And Teaching ◽  
K 12

Web-based teaching technology has become a popular tool for many institutions in this decade. It can be used for every educational level from K-12 to higher education and distance education in many different fields. In order to make these opportunities possible, there are many requirements, including sufficient funding, a strong technological infrastructure, hardware and software, good design and interface, operations, maintenance, training, and cooperation of every involved party. When these requirements have been met as a minimum condition, Web-based teaching can provide many benefits to students, teachers, parents, and educational institutions. It is one alternative of modern technology that has been developed to augment traditional learning and teaching at all educational levels.

The Width of a Module

1970 ◽  
Vol 22 (1) ◽  
pp. 102-115 ◽  
Author(s):  
Michael Wichman
Keyword(s):  
Finite Rank ◽  
Krull Dimension ◽  
Minimum Condition ◽  
Finite Width ◽  
Noetherian Domain ◽  
Dimension One

An R-module N is said to have finite width n if n is the smallest integer such that for any set of n + 1 elements of N, at least one of the elements is in the submodule generated by the remaining n. The width of N over R will be denoted by W(R, N).The notion of width was introduced by Brameret [2, p. 3605]. However, Cohen [3] investigated rings of finite rank, which, in the case that R is a local Noetherian domain, is equivalent to width (Proposition 1.6). He showed that finite width of R was both equivalent to R having Krull dimension one, and to R having the restricted minimum condition (Theorem 1.12).

Noetherian Tensor Products

1972 ◽  
Vol 15 (2) ◽  
pp. 235-238
Author(s):  
E. A. Magarian ◽  
J. L. Motto
Keyword(s):  
Tensor Product ◽  
Jacobson Radical ◽  
Tensor Products ◽  
Minimum Condition ◽  
Ideal Structure ◽  
The Ideal

Relatively little is known about the ideal structure of A⊗RA' when A and A' are R-algebras. In [4, p. 460], Curtis and Reiner gave conditions that imply certain tensor products are semi-simple with minimum condition. Herstein considered when the tensor product has zero Jacobson radical in [6, p. 43]. Jacobson [7, p. 114] studied tensor products with no two-sided ideals, and Rosenberg and Zelinsky investigated semi-primary tensor products in [9].All rings considered in this paper are assumed to be commutative with identity. Furthermore, R will always denote a field.

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