2 papers
math.RA2025
Semiperfect rings with a Nakayama permutation: A survey of Double annihilator property and Size condition
Dominik Krasula
For a semiperfect ring with essential socles, the Double annihilator property encodes that the top and socle have anti-isomorphic lattices of submodules, whereas the Size condition…
math.RA2025
Formal matrix representations of pseudo-Frobenius and Frobenius rings
Dominik Krasula
Rings with Nakayama permutations, pseudo-Frobenius and Frobenius rings in particular, are studied by applying the general theory of formal matrix rings to their Peirce decompositio…