A factorization algorithm for <ce:italic>G</ce:italic>-algebras and its applications
Factorization of polynomials into irreducible factors is an important problem with numerous applications, both over commutative and over non-commutative rings. It has been recently proved by Bell, Heinle and Levandovskyy that a large class of non-commutative algebras are finite factorization domains...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Levandovskyy, Viktor [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Schlagwörter: |
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| Umfang: |
18 |
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| Übergeordnetes Werk: |
Enthalten in: Synergistic effect of NaTi - Lee, Song Yeul ELSEVIER, 2022, an international journal, Amsterdam |
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| Übergeordnetes Werk: |
volume:85 ; year:2018 ; pages:188-205 ; extent:18 |
| Links: |
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| DOI / URN: |
10.1016/j.jsc.2017.06.005 |
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ELV044008643 |
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| 520 | |a Factorization of polynomials into irreducible factors is an important problem with numerous applications, both over commutative and over non-commutative rings. It has been recently proved by Bell, Heinle and Levandovskyy that a large class of non-commutative algebras are finite factorization domains (FFD for short). This provides a termination criterion for a factorization algorithms of elements in a vast class of finitely presented K -algebras, which includes the ubiquitous G-algebras, encompassing algebras of common linear partial functional operators. | ||
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A factorization algorithm for <ce:italic>G</ce:italic>-algebras and its applications |
| abstract |
Factorization of polynomials into irreducible factors is an important problem with numerous applications, both over commutative and over non-commutative rings. It has been recently proved by Bell, Heinle and Levandovskyy that a large class of non-commutative algebras are finite factorization domains (FFD for short). This provides a termination criterion for a factorization algorithms of elements in a vast class of finitely presented K -algebras, which includes the ubiquitous G-algebras, encompassing algebras of common linear partial functional operators. |
| abstractGer |
Factorization of polynomials into irreducible factors is an important problem with numerous applications, both over commutative and over non-commutative rings. It has been recently proved by Bell, Heinle and Levandovskyy that a large class of non-commutative algebras are finite factorization domains (FFD for short). This provides a termination criterion for a factorization algorithms of elements in a vast class of finitely presented K -algebras, which includes the ubiquitous G-algebras, encompassing algebras of common linear partial functional operators. |
| abstract_unstemmed |
Factorization of polynomials into irreducible factors is an important problem with numerous applications, both over commutative and over non-commutative rings. It has been recently proved by Bell, Heinle and Levandovskyy that a large class of non-commutative algebras are finite factorization domains (FFD for short). This provides a termination criterion for a factorization algorithms of elements in a vast class of finitely presented K -algebras, which includes the ubiquitous G-algebras, encompassing algebras of common linear partial functional operators. |
| collection_details |
GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA |
| title_short |
A factorization algorithm for <ce:italic>G</ce:italic>-algebras and its applications |
| url |
https://doi.org/10.1016/j.jsc.2017.06.005 |
| remote_bool |
true |
| author2 |
Heinle, Albert |
| author2Str |
Heinle, Albert |
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ELV008973822 |
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z |
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false |
| hochschulschrift_bool |
false |
| author2_role |
oth |
| doi_str |
10.1016/j.jsc.2017.06.005 |
| up_date |
2024-07-06T20:20:22.614Z |
| _version_ |
1803862380499697664 |
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7.397278 |