Г-Field
In this paper, we introduce the notion of a Г-field as a generalization of field, study them properties of a Г -field and prove that M is a Г-field if and only if M is an integral, simple and commutative Г-ring.
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2019-06-01
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| Series: | Discussiones Mathematicae - General Algebra and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgaa.1303 |
| _version_ | 1797760280365629440 |
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| author | Rao Marapureddy Murali Krishna |
| author_facet | Rao Marapureddy Murali Krishna |
| author_sort | Rao Marapureddy Murali Krishna |
| collection | DOAJ |
| description | In this paper, we introduce the notion of a Г-field as a generalization of field, study them properties of a Г -field and prove that M is a Г-field if and only if M is an integral, simple and commutative Г-ring. |
| first_indexed | 2024-03-12T18:56:19Z |
| format | Article |
| id | doaj.art-4d7d5ef93bf74dce8fec5df6b505b71f |
| institution | Directory Open Access Journal |
| issn | 2084-0373 |
| language | English |
| last_indexed | 2024-03-12T18:56:19Z |
| publishDate | 2019-06-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae - General Algebra and Applications |
| spelling | doaj.art-4d7d5ef93bf74dce8fec5df6b505b71f2023-08-02T06:52:26ZengUniversity of Zielona GóraDiscussiones Mathematicae - General Algebra and Applications2084-03732019-06-0139112513310.7151/dmgaa.1303dmgaa.1303Г-FieldRao Marapureddy Murali Krishna0Department of Mathematics, GITAM University, Visakhapatnam-530 045, Andhra Pradesh, IndiaIn this paper, we introduce the notion of a Г-field as a generalization of field, study them properties of a Г -field and prove that M is a Г-field if and only if M is an integral, simple and commutative Г-ring.https://doi.org/10.7151/dmgaa.1303г-fieldг-ringг-semiringг-groupг-semigroupregular г-ringintegral г-ringsimple г-ringcommutative г-ring06f2506f99 |
| spellingShingle | Rao Marapureddy Murali Krishna Г-Field Discussiones Mathematicae - General Algebra and Applications г-field г-ring г-semiring г-group г-semigroup regular г-ring integral г-ring simple г-ring commutative г-ring 06f25 06f99 |
| title | Г-Field |
| title_full | Г-Field |
| title_fullStr | Г-Field |
| title_full_unstemmed | Г-Field |
| title_short | Г-Field |
| title_sort | г field |
| topic | г-field г-ring г-semiring г-group г-semigroup regular г-ring integral г-ring simple г-ring commutative г-ring 06f25 06f99 |
| url | https://doi.org/10.7151/dmgaa.1303 |
| work_keys_str_mv | AT raomarapureddymuralikrishna gfield |