Inverse semigroups generated by group congruences. The Möbius functions
The computation of the Möbius function of a Möbius category that arises from a combinatorial inverse semigroup has a distinctive feature. This computation is done on the field of finite posets. In the case of two combinatorial inverse semigroups, order isomorphisms between corresponding finite poset...
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2013 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2013
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152314 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Inverse semigroups generated by group congruences. The Möbius functions / E.D. Schwab // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 116–126. — Бібліогр.: 23 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862680177248567296 |
|---|---|
| author | Schwab, E.D. |
| author_facet | Schwab, E.D. |
| citation_txt | Inverse semigroups generated by group congruences. The Möbius functions / E.D. Schwab // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 116–126. — Бібліогр.: 23 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | The computation of the Möbius function of a Möbius category that arises from a combinatorial inverse semigroup has a distinctive feature. This computation is done on the field of finite posets. In the case of two combinatorial inverse semigroups, order isomorphisms between corresponding finite posets reduce the computation to one of the semigroups. Starting with a combinatorial inverse monoid and using a group congruence we construct a combinatorial inverse semigroup such that the Möbius function becomes an invariant to this construction. For illustration, we consider the multiplicative analogue of the bicyclic semigroup and the free monogenic inverse monoid.
|
| first_indexed | 2025-12-07T15:45:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152314 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:45:50Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Schwab, E.D. 2019-06-09T17:23:16Z 2019-06-09T17:23:16Z 2013 Inverse semigroups generated by group congruences. The Möbius functions / E.D. Schwab // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 1. — С. 116–126. — Бібліогр.: 23 назв. — англ. 1726-3255 2010 MSC:20M18, 06A07. https://nasplib.isofts.kiev.ua/handle/123456789/152314 The computation of the Möbius function of a Möbius category that arises from a combinatorial inverse semigroup has a distinctive feature. This computation is done on the field of finite posets. In the case of two combinatorial inverse semigroups, order isomorphisms between corresponding finite posets reduce the computation to one of the semigroups. Starting with a combinatorial inverse monoid and using a group congruence we construct a combinatorial inverse semigroup such that the Möbius function becomes an invariant to this construction. For illustration, we consider the multiplicative analogue of the bicyclic semigroup and the free monogenic inverse monoid. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Inverse semigroups generated by group congruences. The Möbius functions Article published earlier |
| spellingShingle | Inverse semigroups generated by group congruences. The Möbius functions Schwab, E.D. |
| title | Inverse semigroups generated by group congruences. The Möbius functions |
| title_full | Inverse semigroups generated by group congruences. The Möbius functions |
| title_fullStr | Inverse semigroups generated by group congruences. The Möbius functions |
| title_full_unstemmed | Inverse semigroups generated by group congruences. The Möbius functions |
| title_short | Inverse semigroups generated by group congruences. The Möbius functions |
| title_sort | inverse semigroups generated by group congruences. the möbius functions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152314 |
| work_keys_str_mv | AT schwabed inversesemigroupsgeneratedbygroupcongruencesthemobiusfunctions |