Inherently Non-Finitely Generated Varieties of Aperiodic Monoids with Central Idempotents
Gespeichert in:
Verfasser / Beitragende:
[E. Lee]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/4(2015-09-01), 588-599
Format:
Artikel (online)
Online Zugang:
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| 100 | 1 | |a Lee |D E. |u Division of Math, Science, and Technology, Nova Southeastern University, Florida, USA |4 aut | |
| 245 | 1 | 0 | |a Inherently Non-Finitely Generated Varieties of Aperiodic Monoids with Central Idempotents |h [Elektronische Daten] |c [E. Lee] |
| 520 | 3 | |a Let denote the class of aperiodic monoids with central idempotents. A subvariety of that is not contained in any finitely generated subvariety of is said to be inherently non-finitely generated. A characterization of inherently non-finitely generated subvarieties of , based on identities that they cannot satisfy and monoids that they must contain, is given. It turns out that there exists a unique minimal inherently non-finitely generated subvariety of , the inclusion of which is both necessary and sufficient for a subvariety of to be inherently non-finitely generated. Further, it is decidable in polynomial time if a finite set of identities defines an inherently nonfinitely generated subvariety of . | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/4(2015-09-01), 588-599 |x 1072-3374 |q 209:4<588 |1 2015 |2 209 |o 10958 | |
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| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Lee |D E. |u Division of Math, Science, and Technology, Nova Southeastern University, Florida, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/4(2015-09-01), 588-599 |x 1072-3374 |q 209:4<588 |1 2015 |2 209 |o 10958 | ||