The large rank of a finite semigroup using prime subsets

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DC Field	Value	Language
dc.contributor.author	Kumar, Jitender	-
dc.date.accessioned	2023-08-11T11:18:03Z	-
dc.date.available	2023-08-11T11:18:03Z	-
dc.date.issued	2014-03	-
dc.identifier.uri	https://link.springer.com/article/10.1007/s00233-014-9577-0	-
dc.identifier.uri	http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11342	-
dc.description.abstract	The large rank of a finite semigroup , denoted by r5( ), is the least number n such that every subset of with n elements generates . Howie and Ribeiro showed that r5( ) = \|V\| + 1, where V is a largest proper subsemigroup of . This work considers the complementary concept of subsemigroups, called prime subsets, and gives an alternative approach to find the large rank of a finite semigroup. In this connection, the paper provides a shorter proof of Howie and Ribeiro’s result about the large rank of Brandt semigroups. Further, this work obtains the large rank of the semigroup of order-preserving singular selfmaps	en_US
dc.language.iso	en	en_US
dc.publisher	Springer	en_US
dc.subject	Mathematics	en_US
dc.subject	Large rank	en_US
dc.subject	Brandt Semigroups	en_US
dc.subject	Transformation semigroups	en_US
dc.title	The large rank of a finite semigroup using prime subsets	en_US
dc.type	Article	en_US
Appears in Collections:	Department of Mathematics

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