A note on my paper "Notes on compact semigroups with identity".
W. Ruppert (1978)
Semigroup forum
Ušan, Janez (1999)
Novi Sad Journal of Mathematics
Venu Raju, K., Hanumanthachari, J. (1983/1984)
Portugaliae mathematica
M. K. Sen, S. K. Maity (2004)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
We show in an additive inverse regular semiring with as the set of all multiplicative idempotents and as the set of all additive idempotents, the following conditions are equivalent: (i) For all , implies . (ii) is orthodox. (iii) is a semilattice of groups. This result generalizes the corresponding result of regular ring.
Ladislav Procházka (1980)
Commentationes Mathematicae Universitatis Carolinae
Khazal, R., Mukherjee, N.P. (1994)
International Journal of Mathematics and Mathematical Sciences
A. de Luca, S. Varricchio (1990)
Semigroup forum
Imrich Fabrici (2000)
Czechoslovak Mathematical Journal
D. Pfeifer (1984)
Semigroup forum
B. Goldsmith (1981)
Rendiconti del Seminario Matematico della Università di Padova
Ilhan, Sedat, Suer, Meral (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
Dixit, V.N., Dewan, Sarita (1995)
International Journal of Mathematics and Mathematical Sciences
Ladislav Procházka (1966)
Commentationes Mathematicae Universitatis Carolinae
H. Lal (1975)
Matematički Vesnik
B.M. Schein (1971)
Semigroup forum
Bedřich Pondělíček (1973)
Matematický časopis
T. Saito (1986)
Semigroup forum
Grassberger, Johannes, Hörmann, Günther (2001)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
S. Zhang (1989)
Semigroup forum
Petr Němec (1975)
Časopis pro pěstování matematiky