A radical theory for graphs that do not admit loops

نویسندگان

چکیده

Abstract There is a well-developed theory of connectednesses and disconnectednesses (= radical theory) for the category graphs that admit loops. Here it shown such do not allow loops degenerates to trivial case all Hoehnke radicals, but there are non-trivial (KA-radical classes) (KA-semisimple classes). Moreover, always come as complementary pairs.

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ژورنال

عنوان ژورنال: Periodica Mathematica Hungarica

سال: 2022

ISSN: ['0031-5303', '1588-2829']

DOI: https://doi.org/10.1007/s10998-022-00496-0