We introduce and study the partial singular braid monoid PSBn, a monoid that contains both the inverse braid monoid IBn and the singular braid monoid SBn. Our main results include a characterization of Green’s relations, a presentation in terms of generators and relations, and a proof that PSBn embeds in the semigroup algebra C[IBn].

bark". Dietrich provides eleven notes to Ibn al-Baitar's commentary and, as he does in all entries, attempts to identify the plant in modern nomenclature. In this instance, however, Dietrich says, "The plant's identification is very doubtful, perhaps impossible to know". And, he references his discussion of the plant in his Dioscurides triumphans. The reverse happens as well. As an illustration...

A close look at the writings of the Middle Eastern and North African scholars who lived in the Middle Ages (roughly between A.D. 476-1500) reveals an immense body of theoretical knowledge pertaining to the humanities, and behavioral and social sciences. A partial list of the scholars who wrote on these issues includes names such as Abu Yusuf (8th century), Abul-Fadl Al-Dimishgi (9th century), A...