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http://dx.doi.org/10.4134/BKMS.2005.42.3.433

LINEARLY INDEPENDENT ELEMENTS IN N-GROUPS WITH FINITE GOLDIE DIMENSION  

BHAVANARI SATYANARAYANA (DEPARTMENT OF MATHEMATICS, NAGARJUNA UNIVERSITY)
KUNCHAM SYAM PRASAD (DEPARTMENT OF MATHEMATICS, MANIPAL INSTITUTE OF TECHNOLOGY)
Publication Information
Bulletin of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 433-441 More about this Journal
Abstract
The concepts linearly independent elements and u-linearly independent elements in an N-group G where N is a near-ring, were introduced and studied. A few important results in the theory of vector spaces were generalized to N-groups.
Keywords
Goldie dimension; uniform ideal; complement; linearly independent elements; essentially spanning subset; u-linearly independent elements;
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