Orbits of Free Cyclic Submodules Over Rings of Lower Triangular Matrices
نویسندگان
چکیده
Abstract Given a ring $$T_n\ (n\geqslant 2)$$ T n ( ⩾ 2 ) of lower triangular $$n\times n$$ × matrices with entries from an arbitrary field F , we completely classify the orbits free cyclic submodules $$^2T_n$$ under action general linear group $$GL_2(T_n)$$ G L . Interestingly, total number such is found to be equal Bell $$B_n$$ B A representative each orbit also given.
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2021
ISSN: ['1420-9012', '1422-6383']
DOI: https://doi.org/10.1007/s00025-021-01420-7