scholarly journals Centralizer near-rings over free ring modules

Author(s):  
C. J. Maxson ◽  
A. P. J. Van Der Walt

AbstractWe treat centralizer near-rings over ring modules in general, with particular emphasis on the case of free modules. Questions like the following are answered. When is the near-ring a nonring? When is the near-ring simple? What are its maximal and minimal left ideals? What is its subgroup structure? What is the radical? The cases where the ring concerned is a PID or a field are treated in some detail.

Author(s):  
Rudolf Pietschnig ◽  
Fabian Roesler ◽  
Máté Kovács ◽  
Clemens Bruhn ◽  
Zsolt Kelemen

Author(s):  
Fabian Roesler ◽  
Máté Kovács ◽  
Clemens Bruhn ◽  
Zsolt Kelemen ◽  
Rudolf Pietschnig

2019 ◽  
Vol 578 ◽  
pp. 83-88 ◽  
Author(s):  
Atsufumi Kinoshita ◽  
Kousuke Nakanishi ◽  
Ryosuke Yagi ◽  
Atsuhiro Tanaka ◽  
Keiji Hashimoto ◽  
...  
Keyword(s):  

1976 ◽  
Vol 41 (2) ◽  
pp. 243-254 ◽  
Author(s):  
Jon F Carlson

2010 ◽  
Vol 323 (7) ◽  
pp. 1993-2001 ◽  
Author(s):  
Pace P. Nielsen

1982 ◽  
Vol 25 (3) ◽  
pp. 361-362
Author(s):  
Robert W. Swift
Keyword(s):  

AbstractIn this note we show that the generic orthogonal stably free modules of type (2, 7) and (3, 8) have one free summand. This completes the work of other authors on free summands of orthogonal stably free modules.


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