Note on idempotent semigroups. II TeX Export

@article{citeulike:816929, abstract = { An idempotent semigroup \$S\$ is called left normal, resp. right normal, resp. normal if it satisfies the identity \$abc=acb\$, resp. \$bca=cba\$, resp. \$abca=acba\$. <P> Let \$S=\bigcup\{S\_\gamma;\gamma\in\Gamma\}\$ be the decomposition of \$S\$ in the sense of the paper reviewed above. The purpose of this note is to find necessary and sufficient conditions for \$S\$ to be left normal, resp. right normal, resp. normal. This is done by means of families of functions \$\phi\_\beta{}^\alpha\colon S\_\alpha\rightarrow S\_\beta\$ for \$\alpha\&gt;\beta\$ and by means of the notion of the spined product (introduced in the foregoing paper).}, author = {Yamada, Miyuki and Kimura, Naoki}, citeulike-article-id = {816929}, citeulike-linkout-0 = {http://www.ams.org/mathscinet-getitem?mr=98141}, journal = {Proc. Japan Acad.}, keywords = {semigroups}, mrnumber = {MR98141}, pages = {110--112}, posted-at = {2009-01-11 01:23:15}, priority = {2}, title = {Note on idempotent semigroups. II}, url = {http://www.ams.org/mathscinet-getitem?mr=98141}, volume = {34}, year = {1958} }

TY - JOUR ID - citeulike:816929 L3 - citeulike-article-id:816929 N2 - An idempotent semigroup $S$ is called left normal, resp. right normal, resp. normal if it satisfies the identity $abc=acb$, resp. $bca=cba$, resp. $abca=acba$. <P> Let $S=\bigcup\{S_\gamma;\gamma\in\Gamma\}$ be the decomposition of $S$ in the sense of the paper reviewed above. The purpose of this note is to find necessary and sufficient conditions for $S$ to be left normal, resp. right normal, resp. normal. This is done by means of families of functions $\phi_\beta{}^\alpha\colon S_\alpha\rightarrow S_\beta$ for $\alpha&gt;\beta$ and by means of the notion of the spined product (introduced in the foregoing paper). JF - Proc. Japan Acad. EP - 112 TI - Note on idempotent semigroups. II VL - 34 SP - 110 KW - semigroups AU - Yamada, Miyuki AU - Kimura, Naoki PY - 1958/// UR - http://www.ams.org/mathscinet-getitem?mr=98141 ER -