Hereditary Radicals and Strongly Semisimple Radicals in Normal Classes of Algebras
Received:November 20, 2001  
Key Word: algebra   normal class   lattice   hereditary radical   strongly semisimple radical.  
Fund ProjectL:NSF of Liaoning Education Department (2024201051)
Author NameAffiliation
REN Yan-li Dept. of Math.
Anshan Normal University
Liaoning
China 
WANG Yao School of Math. Sci.
Nankai University
Tianjin
China
Dept. of Math.
Anshan Normal University
Liaoning
China 
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Abstract:
      Puczylowski established the general theory of radicals of the class of objects called algebras. In this paper, we make use of the method of lattice theory to characterize the general hereditary radicals and general strongly semisimple radicals and investigate some properties of them in normal classes of algebras. This extends some known studies on the theory of radicals of various algebraic strutures.
Citation:
DOI:10.3770/j.issn:1000-341X.2004.04.004
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