fq-Derivations of G-Algebra
We introduce the notion of fq-derivation as a new derivation of G-algebra. For an endomorphism map f of any G-algebra X, we show that at least one fq-derivation of X exists. Moreover, for such a map, we show that a self-map dqf of X is fq-derivation of X if X is an associative medial G-algebra. For...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2016/9276096 |
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| _version_ | 1832551967356878848 |
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| author | Deena Al-Kadi |
| author_facet | Deena Al-Kadi |
| author_sort | Deena Al-Kadi |
| collection | DOAJ |
| description | We introduce the notion of fq-derivation as a new derivation of G-algebra. For an endomorphism map f of any G-algebra X, we show that at least one fq-derivation of X exists. Moreover, for such a map, we show that a self-map dqf of X is fq-derivation of X if X is an associative medial G-algebra. For a medial G-algebra X, dqf is fq-derivation of X if dqf is an outside fq-derivation of X. Finally, we show that if f is the identity endomorphism of X then the composition of two fq-derivations of X is a fq-derivation. Moreover, we give a condition to get a commutative composition. |
| format | Article |
| id | doaj-art-9f38115f167e46d3b5516dff95e4e836 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9f38115f167e46d3b5516dff95e4e8362025-02-03T06:00:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252016-01-01201610.1155/2016/92760969276096fq-Derivations of G-AlgebraDeena Al-Kadi0Department of Mathematics and Statistic, Faculty of Science, Taif University, P.O. Box 888, Taif 21974, Saudi ArabiaWe introduce the notion of fq-derivation as a new derivation of G-algebra. For an endomorphism map f of any G-algebra X, we show that at least one fq-derivation of X exists. Moreover, for such a map, we show that a self-map dqf of X is fq-derivation of X if X is an associative medial G-algebra. For a medial G-algebra X, dqf is fq-derivation of X if dqf is an outside fq-derivation of X. Finally, we show that if f is the identity endomorphism of X then the composition of two fq-derivations of X is a fq-derivation. Moreover, we give a condition to get a commutative composition.http://dx.doi.org/10.1155/2016/9276096 |
| spellingShingle | Deena Al-Kadi fq-Derivations of G-Algebra International Journal of Mathematics and Mathematical Sciences |
| title | fq-Derivations of G-Algebra |
| title_full | fq-Derivations of G-Algebra |
| title_fullStr | fq-Derivations of G-Algebra |
| title_full_unstemmed | fq-Derivations of G-Algebra |
| title_short | fq-Derivations of G-Algebra |
| title_sort | fq derivations of g algebra |
| url | http://dx.doi.org/10.1155/2016/9276096 |
| work_keys_str_mv | AT deenaalkadi fqderivationsofgalgebra |