| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 |
 737 5 |
| Ultima descărcare din IBN: 2022-12-04 15:31 |
 SM ISO690:2012GIGON, Roman. Clifford congruences on perfect semigroups. In: Quasigroups and Related Systems, 2013, vol. 21, nr. 2(30), pp. 207-228. ISSN 1561-2848. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Quasigroups and Related Systems |
||||||
| Volumul 21, Numărul 2(30) / 2013 / ISSN 1561-2848 | ||||||
|
||||||
| Pag. 207-228 | ||||||
|
||||||
 Descarcă PDF |
||||||
| Rezumat | ||||||
A congruence on a semigroup S is called perfect if (a)(b) = (ab) for all a; b 2 S, as sets, and a semigroup S is said to be -idempotent-surjective (respectively perfect) if every -class of S contains an idempotent of S, where is the least semilattice congruence on S (respectively if each congruence on S is perfect). We describe the least Clifford congruence on an -idempotent-surjective perfect semigroup S. In addition, a characterization of all Clifford congruences on such a semigroup is given.Furthermore, we find necessary and sufficient conditions for to be idempotent pure or E-unitary. Moreover, we give a full description of all USG-congruences on an-idempotent-surjective perfect semigroup S. In fact, we show that each USG-congruence # on S is the intersection of a semilattice congruence " and a group congruence (and vice versa), and this expression is unique. Also, S=# = S=" S= . Finally, we investigate the lattice of Clifford congruences on a semigroup S which is a semilattice S= of E-inversive semigroups e (e 2 ES). |
||||||
| Cuvinte-cheie Clifford congruence, USG-congruence, perfect semigroup, -idempotent-surjective semigroup, group (semilattice) congruence, idempotent pure congruence |
||||||
|
Crossref XML Export
<?xml version='1.0' encoding='utf-8'?> <doi_batch version='4.3.7' xmlns='http://www.crossref.org/schema/4.3.7' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.crossref.org/schema/4.3.7 http://www.crossref.org/schema/deposit/crossref4.3.7.xsd'> <head> <doi_batch_id>ibn-32982</doi_batch_id> <timestamp>1718035560</timestamp> <depositor> <depositor_name>Information Society Development Instiute, Republic of Moldova</depositor_name> <email_address>[email protected]</email_address> </depositor> <registrant>Institutul de Matematică şi Informatică al AŞM</registrant> </head> <body> <journal> <journal_metadata> <full_title>Quasigroups and Related Systems</full_title> <issn media_type='print'>15612848</issn> </journal_metadata> <journal_issue> <publication_date media_type='print'> <year>2013</year> </publication_date> <issue>2(30)</issue> </journal_issue> <journal_article publication_type='full_text'><titles> <title>Clifford congruences on perfect semigroups</title> </titles> <contributors> <person_name sequence='first' contributor_role='author'> <given_name>Roman</given_name> <surname>Gigon</surname> </person_name> </contributors> <publication_date media_type='print'> <year>2013</year> </publication_date> <pages> <first_page>207</first_page> <last_page>228</last_page> </pages> </journal_article> </journal> </body> </doi_batch>
|
|
|
