| 每一个具有条件(S)的BCK—代数是一个可换负偏序幺半群的剩余元集 |
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| 引用本文： | 库热西·沙吾提,刘亚军,吐热克孜.每一个具有条件(S)的BCK—代数是一个可换负偏序幺半群的剩余元集[J].新疆师范大学学报(自然科学版),1999(4). |
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| 作者姓名： | 库热西·沙吾提 刘亚军 吐热克孜 |
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| 作者单位： | 新疆师范大学数学系 乌鲁木齐830054 |
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| 摘 要： | 本文证明了每一个具有条件(S)的BCK—代数诱导一个交换负偏序剩余幺半群,反之每一个交换负偏序剩余幺半群诱导一个具有条件(S)的BCK—代数。由此进一步说明每一个具有条件(S)的BCK—代数是交换负偏序幺半群的剩余元集。
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| 关 键 词： | 具有条件(S)的BCK—代数 负偏序剩余幺半群 |
EVERY BCK-ALGEBRA WITH CONDITION(S) IS A SET OF RESIDUABLES IN A COMMUTATIVE NEGATIVELY PARTIALLY ORDERED MONOID |
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| Kurexi Shawuti,Liu Yajun,Turankezi.EVERY BCK-ALGEBRA WITH CONDITION(S) IS A SET OF RESIDUABLES IN A COMMUTATIVE NEGATIVELY PARTIALLY ORDERED MONOID[J].Journal of Xinjiang Normal University(Natural Sciences Edition),1999(4). |
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| Authors: | Kurexi Shawuti Liu Yajun Turankezi |
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| Abstract: | This paper has proved that a commutative negatively partially ordered (briefly,n. p. o)residual monoid induces a BCK-algebra with condition(S),and the adjoint semigroup M(X) of a BCK-algebras with condition(S) is a commutative n. p. o. residual monoid . It also shows that every BCK-algebra with condition (S) is a set of residuables in a commutative n. p. o. monoid. |
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| Keywords: | BCK-algebra with condition(S) Commutative negatively partially ordered residual monoid |
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