1999
On existence varieties of E-solid semigroups
KAĎOUREK, Jiří a Mária B. SZENDREIZákladní údaje
Originální název
On existence varieties of E-solid semigroups
Autoři
KAĎOUREK, Jiří a Mária B. SZENDREI
Vydání
Semigroup Forum, New York, Springer-Verlag, 1999, 0037-1912
Další údaje
Jazyk
angličtina
Typ výsledku
Článek v odborném periodiku
Obor
10101 Pure mathematics
Stát vydavatele
Spojené státy
Utajení
není předmětem státního či obchodního tajemství
Impakt faktor
Impact factor: 0.238
Označené pro přenos do RIV
Ano
Kód RIV
RIV/00216224:14310/99:00001274
Organizační jednotka
Přírodovědecká fakulta
UT WoS
Klíčová slova anglicky
existence varieties of regular semigroups; bifree objects; regular E-solid semigroups; regular locally orthodox semigroups
Změněno: 6. 5. 2009 15:08, doc. RNDr. Jiří Kaďourek, CSc.
Anotace
V originále
Within the class of regular E-solid semigroups, a theory of e-varieties including appropriate notions of biidentities and biinvariant congruences is presented, such that, together with bifree objects, these notions inherit the properties and interrelations well known from universal algebra. This theory generalizes the previously developed such theory for orthodox semigroups.
As an application, the bifree objects in certain e-varieties of E-solid locally orthodox semigroups, which are constructed by means of Malcev products from varieties of bands, groups and completely simple semigroups, are described as subsemigroups in suitable Pastijn products of some bands by relatively bifree completely simple semigroups. As a consequence, it follows that every regular E-solid locally orthodox semigroup regularly divides a so-called solid Pastijn product of a band by a completely simple semigroup.
As an application, the bifree objects in certain e-varieties of E-solid locally orthodox semigroups, which are constructed by means of Malcev products from varieties of bands, groups and completely simple semigroups, are described as subsemigroups in suitable Pastijn products of some bands by relatively bifree completely simple semigroups. As a consequence, it follows that every regular E-solid locally orthodox semigroup regularly divides a so-called solid Pastijn product of a band by a completely simple semigroup.
Návaznosti
| GA201/93/2121, projekt VaV |
|