The properties of medial and their related idempotents in r-wide semigroups are discussed.Based on this,we proved that r-wide semigroups with a weakly type A multiplicative medial idempotent u are naturally ordered r-wide semigroups anduis a maximum idempotent.
关键词
r-宽大半群/中间幂等元/自然序/弱型A半群
Key words
r-wide semigroups/medial idempotents/naturally order/weakly type A s-emigroups