Detailed Information on Publication Record
1999
On existence varieties of E-solid semigroups
KAĎOUREK, Jiří and Mária B. SZENDREIBasic information
Original name
On existence varieties of E-solid semigroups
Authors
KAĎOUREK, Jiří (203 Czech Republic, guarantor) and Mária B. SZENDREI
Edition
Semigroup Forum, New York, Springer-Verlag, 1999, 0037-1912
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
Impact factor
Impact factor: 0.238
RIV identification code
RIV/00216224:14310/99:00001274
Organization unit
Faculty of Science
UT WoS
000077052500003
Keywords in English
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.
Abstract
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.
Links
| GA201/93/2121, research and development project |
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