Some conditions for finiteness of a ring
1988 ◽
Vol 11
(2)
◽
pp. 239-242
◽
Keyword(s):
Nil Ring
◽
Extending a result of Putcha and Yaqub, we prove that a non-nil ring must be finite if it has both ascending chain condition and descending chain condition on non-nil subrings. We also prove that a periodic ring with only finitely many non-central zero divisors must be either finite or commutative.
2012 ◽
Vol 49
(3)
◽
pp. 366-389
◽
1971 ◽
Vol 14
(3)
◽
pp. 443-444
◽
Keyword(s):
2020 ◽
Vol 57
(3)
◽
pp. 290-297
Keyword(s):
1979 ◽
Vol 31
(3)
◽
pp. 558-564
◽
Keyword(s):
2011 ◽
Vol 10
(04)
◽
pp. 727-739
◽
Keyword(s):
1977 ◽
Vol 80
(3)
◽
pp. 225-229
◽
1949 ◽
Vol 1
(2)
◽
pp. 125-152
◽