Pseudo-nearrings and quasi-modules over them
In this paper we start to investigate a new notion of pseudo-nearrings and a generalization of linear spaces to quasi-modules over pseudo-nearrings. Pseudo-nearrings can be treated as ringoids in the sense of J. Hion (see [6]). The idea of pseudo-nearings is based on the notion of a ∗-associative qu...
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| Veröffentlicht in: | Український математичний вісник |
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| Datum: | 2004 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2004
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/124613 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Pseudo-nearrings and quasi-modules over them / A. Chwastyk, K. Glazek // Український математичний вісник. — 2004. — Т. 1, № 1. — С. 129-139. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862722320365256704 |
|---|---|
| author | Chwastyk, A. Glazek, K. |
| author_facet | Chwastyk, A. Glazek, K. |
| citation_txt | Pseudo-nearrings and quasi-modules over them / A. Chwastyk, K. Glazek // Український математичний вісник. — 2004. — Т. 1, № 1. — С. 129-139. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | In this paper we start to investigate a new notion of pseudo-nearrings and a generalization of linear spaces to quasi-modules over pseudo-nearrings. Pseudo-nearrings can be treated as ringoids in the sense of J. Hion (see [6]). The idea of pseudo-nearings is based on the notion of a ∗-associative quasigroup, i.e. on an involutive groupoid (A;+,* ) in which the following identities hold: (x*)* = x, (x + y)* = y* + x*, (x + y)* + z = x + (y + z)*. We assume also commutativity and quasigroup properties of (A;+).
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| first_indexed | 2025-12-07T18:35:10Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124613 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T18:35:10Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Chwastyk, A. Glazek, K. 2017-09-30T08:19:13Z 2017-09-30T08:19:13Z 2004 Pseudo-nearrings and quasi-modules over them / A. Chwastyk, K. Glazek // Український математичний вісник. — 2004. — Т. 1, № 1. — С. 129-139. — Бібліогр.: 10 назв. — англ. 1810-3200 2000 MSC. 20N02, 20N05, 16Y30, 16W10, 16D99. https://nasplib.isofts.kiev.ua/handle/123456789/124613 In this paper we start to investigate a new notion of pseudo-nearrings and a generalization of linear spaces to quasi-modules over pseudo-nearrings. Pseudo-nearrings can be treated as ringoids in the sense of J. Hion (see [6]). The idea of pseudo-nearings is based on the notion of a ∗-associative quasigroup, i.e. on an involutive groupoid (A;+,* ) in which the following identities hold: (x*)* = x, (x + y)* = y* + x*, (x + y)* + z = x + (y + z)*. We assume also commutativity and quasigroup properties of (A;+). en Інститут прикладної математики і механіки НАН України Український математичний вісник Pseudo-nearrings and quasi-modules over them Article published earlier |
| spellingShingle | Pseudo-nearrings and quasi-modules over them Chwastyk, A. Glazek, K. |
| title | Pseudo-nearrings and quasi-modules over them |
| title_full | Pseudo-nearrings and quasi-modules over them |
| title_fullStr | Pseudo-nearrings and quasi-modules over them |
| title_full_unstemmed | Pseudo-nearrings and quasi-modules over them |
| title_short | Pseudo-nearrings and quasi-modules over them |
| title_sort | pseudo-nearrings and quasi-modules over them |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124613 |
| work_keys_str_mv | AT chwastyka pseudonearringsandquasimodulesoverthem AT glazekk pseudonearringsandquasimodulesoverthem |