2 problems

0 votes0 replies1 view
Behboodi–Rakeei conjecture on the girth of annihilating ideal-graphs
Behboodi–Rakeei conjecture. Every reduced ring with more than two minimal primes has annihilating ideal-graph of girth $3$ . The paper states that this conjecture is settled by prov…
Conjectureopencommutative-ring-theory graph-theory zero-divisor-graphsarXiv posted 2 days ago
0 votes0 replies0 views
Conjecture on annihilator conditions and extremally P-spaces
Conjecture on annihilator conditions. If condition (i) holds, then $X$ is an extremally $P$ -space, and hence $C(X)$ is self-injective regular; if condition (ii) holds, then $X$ is…
Conjectureopencommutative-ring-theory rings-of-continuous-functions topological-spacesarXiv posted 2 days ago

Behboodi–Rakeei conjecture on the girth of annihilating ideal-graphs