Linear Topologies On a Ring an Overview (Pitman Research Notes in Mathematics Series)

0 avg rating
( 0 ratings by Goodreads )
 
9780582013131: Linear Topologies On a Ring an Overview (Pitman Research Notes in Mathematics Series)
View all copies of this ISBN edition:
 
 

Linear topologies on a noncommutative ring R are determined by 'topologizing' filters of left ideals of R. This Research Note presents a unified study of the set of R-fil of all such filters, with emphasis on the interplay between the order of algebraic structures naturally defined on it. Thus, R-fil is considered first as a complete lattice, next as a semiring and thirdly as the dual of a residuated lattice-ordered monoid. A construction due to Levitzki is adapted to show how arbitrarily-large transifnite products may be defined in R-fil. Emphasis is also placed on the idempotent elements of R-fil, which correspond to torsion theories on module categories over R, and the way in which they sit in R-fil.

"synopsis" may belong to another edition of this title.

Buy New View Book

Shipping: US$ 7.42
From Ireland to U.S.A.

Destination, Rates & Speeds

Add to Basket

Top Search Results from the AbeBooks Marketplace

1.

J.S. Golan
Published by Longman Scientific & Technical
ISBN 10: 0582013135 ISBN 13: 9780582013131
New Paperback Quantity Available: 2
Seller:
Book-Fare
(Dublin, Ireland)
Rating
[?]

Book Description Longman Scientific & Technical. Paperback. Condition: New. UNUSED, LIKE NEW, NOT EX-LIBRARY, 1st Edition, 128 pages. Linear topologies on a noncommutative ring R are determined by 'topologizing' filters of left ideals of R. This Research Note presents a unified study of the set of R-fil of all such filters, with emphasis on the interplay between the order of algebraic structures naturally defined on it. Thus, R-fil is considered first as a complete lattice, next as a semiring and thirdly as the dual of a residuated lattice-ordered monoid. A construction due to Levitzki is adapted to show how arbitrarily-large transifnite products may be defined in R-fil. Emphasis is also placed on the idempotent elements of R-fil, which correspond to torsion theories on module categories over R, and the way in which they sit in R-fil. book. Seller Inventory # 2027

More information about this seller | Contact this seller

Buy New
US$ 63.43
Convert Currency

Add to Basket

Shipping: US$ 7.42
From Ireland to U.S.A.
Destination, Rates & Speeds