Commutative Semigroups Which Are Semigro
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Kunitaka Shoji
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Article
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2001
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Elsevier Science
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English
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ฮฑ -r e 2 s at , and bt โฅ ฮฑ 2i-r e 2 ฮฑ -r e 2 s at . Since ฮฑ r e 1 a โฅ e 1 at, there exists v โ S such that at = ฮฑ r e 1 av. Then e 1 sat . We can prove similarly the other inequations. Thus it follows from the equations above and Lemma 7(ii) that ฮฑ 2i-r ฮฑ -r e 2 s at = ฮฑ 2i-r f 2 ฮฑ -r f 2 s at . T