On the le-semigroups whose semigroup of bi-ideal elements is a normal band

dc.contributor.author	Bhuniya, A.K.
dc.contributor.author	Kumbhakar, M.
dc.date.accessioned	2019-06-16T09:52:30Z
dc.date.available	2019-06-16T09:52:30Z
dc.date.issued	2015
dc.identifier.citation	On the le-semigroups whose semigroup of bi-ideal elements is a normal band / A.K. Bhuniya, M. Kumbhakar // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 171-181. — Бібліогр.: 24 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:06F05.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/155148
dc.description.abstract	It is well known that the semigroup B(S) of all bi-ideal elements of an le-semigroup S is a band if and only if S is both regular and intra-regular. Here we show that B(S) is a band if and only if it is a normal band and give a complete characterization of the le-semigroups S for which the associated semigroup B(S) is in each of the seven nontrivial subvarieties of normal bands. We also show that the set Bm(S) of all minimal bi-ideal elements of S forms a rectangular band and that Bm(S) is a bi-ideal of the semigroup B(S).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On the le-semigroups whose semigroup of bi-ideal elements is a normal band	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA