A classical linear vector space is a unitary DELTA module, where DELTA is a division ring. Properties of linear spaces are given. The approach used is a module theoretic one, that is, a sequence of progressively stronger impositions on the module structure of a unitary Rmodule M is studied, without regard to the nature of the operator ring R. (W.D.M.
"Appendix": 2 l. at end.On the theorem of Krein-Milman.--A representation theorem for vector lattice...
AbstractThe concept of moduloïd over a dioïd has been introduced in Gondran and Minoux [8] for the a...
This book is the first of two volumes on linear algebra for graduate students in mathematics, the sc...
In this paper, the principal problem is a comparison of vector spaces with modules over different ki...
A vector space is a set that is closed under finite vector addition and scalar multiplication. It ha...
Beginning with the basic concepts of vector spaces such as linear independence, basis and dimension,...
All rings R will be unital and all modules X will be right modules. I a basis for an R-module X is a...
Let V and W be two vector spaces over a base field F. It is said that V is a module over W if it is ...
Representation theory is the parts of advanced topics in abstract algebra that deal with groups. Rep...
Modern linear algebra is based on vector spaces, or more generally, on modules. The abstract notion ...
A systematic development of the realization theory of Jinite dimensional constant linear systems ie ...
In the study of vector spaces, one of the most important concepts is that of a basis. By helping ...
The following is another short proof of the fact that for a commutative ring with unit R, any finite...
AbstractWe study modules over the ring D0 of differential operators with power series coefficients. ...
We provide here a list of linear algebra theorems that can be done easily by structure theorems. Lem...
"Appendix": 2 l. at end.On the theorem of Krein-Milman.--A representation theorem for vector lattice...
AbstractThe concept of moduloïd over a dioïd has been introduced in Gondran and Minoux [8] for the a...
This book is the first of two volumes on linear algebra for graduate students in mathematics, the sc...
In this paper, the principal problem is a comparison of vector spaces with modules over different ki...
A vector space is a set that is closed under finite vector addition and scalar multiplication. It ha...
Beginning with the basic concepts of vector spaces such as linear independence, basis and dimension,...
All rings R will be unital and all modules X will be right modules. I a basis for an R-module X is a...
Let V and W be two vector spaces over a base field F. It is said that V is a module over W if it is ...
Representation theory is the parts of advanced topics in abstract algebra that deal with groups. Rep...
Modern linear algebra is based on vector spaces, or more generally, on modules. The abstract notion ...
A systematic development of the realization theory of Jinite dimensional constant linear systems ie ...
In the study of vector spaces, one of the most important concepts is that of a basis. By helping ...
The following is another short proof of the fact that for a commutative ring with unit R, any finite...
AbstractWe study modules over the ring D0 of differential operators with power series coefficients. ...
We provide here a list of linear algebra theorems that can be done easily by structure theorems. Lem...
"Appendix": 2 l. at end.On the theorem of Krein-Milman.--A representation theorem for vector lattice...
AbstractThe concept of moduloïd over a dioïd has been introduced in Gondran and Minoux [8] for the a...
This book is the first of two volumes on linear algebra for graduate students in mathematics, the sc...
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