Pseudo-nearrings and quasi-modules over them
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Pseudo-nearrings and quasi-modules over them
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| Creator |
Chwastyk, A.
Glazek, K. |
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| 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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| Date |
2017-09-30T08:19:13Z
2017-09-30T08:19:13Z 2004 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/124613 |
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| Language |
en
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| Relation |
Український математичний вісник
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| Publisher |
Інститут прикладної математики і механіки НАН України
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