Journal:
:bulletin of the iranian mathematical society
0
s. ebrahimi atani
department of mathematics, university
of guilan, p.o. box 1914, rasht, iran. m. khoramdel
department of
mathematics, university
of guilan, p.o. box 1914, rasht, iran. s. dolati pish hesari
department of mathematics, university
of guilan, p.o. box 1914, rasht, iran.
we introduce the notions of t-dual rickart and strongly t-dual rickart modules. we provide several characterizations and investigate properties of each of these concepts. it is shown that every free (resp. finitely generated free) $r$-module is t-dual rickart if and only if $overline{z}^2(r)$ is a direct summand of $r$ and end$(overline{z}^2(r))$ is a semisimple (resp. regular) ring. it is sho...
