scholarly journals On questions of B. J. Gardner and A. D. Sands

1994 ◽  
Vol 56 (3) ◽  
pp. 314-319 ◽  
Author(s):  
K. I. Beidar
Keyword(s):  
Hereditary Radical ◽  
Special Classes

AbstractAn example of two disjoint special classes whose upper radicals coincide is presented. It is shown that the left hereditary subradical of the hereditary idempotent radical is right hereditary. An example of a hereditary and principally left hereditary radical which is not left hereditary is constructed.

scholarly journals Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-Rings

2008 ◽  
Vol 2008 ◽  
pp. 1-6
Author(s):  
Ravi Srinivasa Rao ◽  
K. Siva Prasad ◽  
T. Srinivas
Keyword(s):  
Jacobson Radical ◽  
Paper Properties ◽  
Hereditary Radical ◽  
Constant Part ◽  
The Right

By a near-ring we mean a right near-ring.J0r, the right Jacobson radical of type 0, was introduced for near-rings by the first and second authors. In this paper properties of the radicalJ0rare studied. It is shown thatJ0ris a Kurosh-Amitsur radical (KA-radical) in the variety of all near-ringsR, in which the constant partRcofRis an ideal ofR. So unlike the left Jacobson radicals of types 0 and 1 of near-rings,J0ris a KA-radical in the class of all zero-symmetric near-rings.J0ris nots-hereditary and hence not an ideal-hereditary radical in the class of all zero-symmetric near-rings.

A Treatise on the Law of Agency, Including Special Classes of Agents, Attorneys, Brokers, and Factors, Auctioneers, Masters of Vessels, Etc.

1906 ◽  
Vol 19 (4) ◽  
pp. 315
Author(s):  
H. Le B. S. ◽  
William Lawrence Clark ◽  
Henry H. Skyles
Keyword(s):  
The Law ◽  
Special Classes
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