Feebly Baer N-groups and Nearrings Feebly Baer N-groups and Nearrings
In [ 8 ], the condition of commutativity was relaxed and certain results of [ 7 ] regarding regular rings, feebly Baer rings and weakly complemented rings were proved for reversible rings. We further ease some conditions and prove these results for nearrings with no non-zero nilpotent elements.
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Published in | Indian journal of pure and applied mathematics Vol. 56; no. 2; pp. 676 - 685 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
New Delhi
Indian National Science Academy
01.06.2025
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
ISSN | 0019-5588 0975-7465 |
DOI | 10.1007/s13226-023-00511-1 |
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Abstract | In [
8
], the condition of commutativity was relaxed and certain results of [
7
] regarding regular rings, feebly Baer rings and weakly complemented rings were proved for reversible rings. We further ease some conditions and prove these results for nearrings with no non-zero nilpotent elements. |
---|---|
AbstractList | In [8], the condition of commutativity was relaxed and certain results of [7] regarding regular rings, feebly Baer rings and weakly complemented rings were proved for reversible rings. We further ease some conditions and prove these results for nearrings with no non-zero nilpotent elements. In [ 8 ], the condition of commutativity was relaxed and certain results of [ 7 ] regarding regular rings, feebly Baer rings and weakly complemented rings were proved for reversible rings. We further ease some conditions and prove these results for nearrings with no non-zero nilpotent elements. |
Author | Sharma, Ram Parkash Chandel, Shalini |
Author_xml | – sequence: 1 givenname: Ram Parkash orcidid: 0000-0002-3127-2688 surname: Sharma fullname: Sharma, Ram Parkash email: rp_math_hpu@yahoo.com organization: Department of Mathematics and Statistics, Himachal Pradesh University – sequence: 2 givenname: Shalini surname: Chandel fullname: Chandel, Shalini organization: Department of Mathematics and Statistics, Himachal Pradesh University |
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Cites_doi | 10.1142/S1005386705000118 10.1142/S0219498809003138 10.1080/00927872.2013.808651 10.1017/S0013091500003564 10.1155/S016117128900089X 10.1007/s40065-023-00426-z 10.1007/BF02993604 |
ContentType | Journal Article |
Copyright | The Indian National Science Academy 2023 Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Copyright Springer Nature B.V. 2025 |
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References | H Al-Ezeh (511_CR1) 1989; 12 H Al-Ezeh (511_CR2) 1981; 16 SC Choudhary (511_CR6) 1974; 40 G Mason (511_CR9) 1980; 23 511_CR7 511_CR8 511_CR5 G Pilz (511_CR10) 1977 N Argac (511_CR3) 2005; 12 GF Birkenmeier (511_CR4) 1999; 10 |
References_xml | – volume: 10 start-page: 257 issue: 2 year: 1999 ident: 511_CR4 publication-title: Mathematica Pannonica – volume: 12 start-page: 121 issue: 1 year: 2005 ident: 511_CR3 publication-title: Algebra Colloquium doi: 10.1142/S1005386705000118 – ident: 511_CR7 doi: 10.1142/S0219498809003138 – ident: 511_CR8 doi: 10.1080/00927872.2013.808651 – volume: 23 start-page: 27 issue: 1 year: 1980 ident: 511_CR9 publication-title: Proceedings of the Edinburgh Mathematical Society doi: 10.1017/S0013091500003564 – volume: 12 start-page: 725 issue: 4 year: 1989 ident: 511_CR1 publication-title: Internat. J. Math. Math. Sci. doi: 10.1155/S016117128900089X – volume-title: Near-Rings year: 1977 ident: 511_CR10 – volume: 16 start-page: 89 issue: 1 year: 1981 ident: 511_CR2 publication-title: Arabian J. Sci. Engrg. – ident: 511_CR5 doi: 10.1007/s40065-023-00426-z – volume: 40 start-page: 256 year: 1974 ident: 511_CR6 publication-title: Abh. Math. Semin. Univ. Hambg. doi: 10.1007/BF02993604 |
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Snippet | In [
8
], the condition of commutativity was relaxed and certain results of [
7
] regarding regular rings, feebly Baer rings and weakly complemented rings were... In [8], the condition of commutativity was relaxed and certain results of [7] regarding regular rings, feebly Baer rings and weakly complemented rings were... |
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SubjectTerms | Applications of Mathematics Commutativity Mathematics Mathematics and Statistics Numerical Analysis Original Research |
Subtitle | Feebly Baer N-groups and Nearrings |
Title | Feebly Baer N-groups and Nearrings |
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