A finitely generated $R$-module is said to be a module of type ($F_r$) if its $(r-1)$-th Fitting ideal is the zero ideal and its $r$-th Fitting ideal is a regular ideal. Let $R$ be a commutative ring and $N$ be a submodule of  $R^n$ which is generated by columns of  a matrix $A=(a_{ij})$ with $a_{ij}in R$ for all $1leq ileq n$, $jin Lambda$, where $Lambda $ is a (possibly infinite) index set.  ...

ALEXANDRA BAROFSKY1, PAOLO SIMONELLI2, CHARLES VIDOUDEZ1, CHRISTOFER TROEDSSON3, JENS C. NEJSTGAARD3, HANS H. JAKOBSEN4 AND GEORG POHNERT1* 1 INSTITUTE FOR INORGANIC AND ANALYTICAL CHEMISTRY, INSTRUMENTAL ANALYTICS/BIOORGANIC ANALYTICS, FRIEDRICH SCHILLER UNIVERSITY JENA, LESSINGSTR. 8 D-07743, JENA, GERMANY, DEPARTMENT OF BIOLOGY, UNIVERSITY OF BERGEN, PO BOX 7800, N-5020 BERGEN, NORWAY, UNI E...

+Kobayashi, H; Mitsugi, N; Taki, N; Akamatsu, Y; Ota, H; Tanaka, K; Saito, T +Yokohama City University Medical Center, Yokohama, Japan, Yokohama City University, Yokohama, Japan [email protected] Introduction Obtaining proper intraoperative soft tissue balance at the time of total knee arthroplasty is thought to be one of important factors to achieve stable postoperative outcomes. It is ideal to f...

The intent of this article is to study the concept of an   , k q  -intuitionistic fuzzy ideal and   , k q  -intuitionistic fuzzy soft ideal of subtraction algebras and to introduce some related properties. 2010 AMS Classification: 06F35, 03G25, 08A72.

The notion of fuzzy soft sets is a hybrid soft computing model that integrates both gradualness and parameterization methods in harmony to deal with uncertainty. The decomposition of fuzzy soft sets is of great importance in both theory and practical applications with regard to decision making under uncertainty. This study aims to explore decomposition of fuzzy soft sets with finite value space...

The notion of fuzzy soft sets is a hybrid soft computing model that integrates both gradualness and parametrization methods in harmony to deal with uncertainty. The decomposition of fuzzy soft sets is of great importance in both theory and practical applications with regard to decision making under uncertainty. This study aims to explore decomposition of fuzzy soft sets with finite value spaces...

Gabriele D Maurer ([email protected]) Daniel P Brucker ([email protected]) Oliver Baehr ([email protected]) Patrick N Harter ([email protected]) Elke Hattingen ([email protected]) Stefan Walenta ([email protected]) Wolfgang Mueller-Klieser ([email protected]) Joachim P Steinbach ([email protected]...

Jochen Ludewig . Studium der ElcktrotCcJl· nik an der T U Hannover. Aufbaustudium Inform:lIik an der TU München. ~·Ii \(lrbc i ­ leT a l11 Institut fü r Datenyerarbe itung des KcrnforschllllgszcntTUmS Karlsruhe. 1981 Promotion durch die T U Mü nchen. Leite r des Projekts Soft ware Engineering im ßrown Boreri Forschungszentrum in Baden/Schweiz. Seit 1988 ProL für Sort\\';Lrc Engineering an der U...

an ideal i of a ring r is called right baer-ideal if there exists an idempotent e 2 r such that r(i) = er. we know that r is quasi-baer if every ideal of r is a right baer-ideal, r is n-generalized right quasi-baer if for each i e r the ideal in is right baer-ideal, and r is right principaly quasi-baer if every principal right ideal of r is a right baer-ideal. therefore the concept of baer idea...