Unit (ring theory)
In mathematics, an invertible element or a unit in a (unital) ring R is any element u that has an inverse element in the multiplicative monoid of R, i.e. an element v such that uv = vu = 1R, where 1R is the multiplicative identity. The set of units of any ring is closed under multiplication (the product of two units is again a unit), and forms a group for this operation. It never contains the element 0 (except in the case of the zero ring), and is therefore not closed under addition; its complement however might be a group under addition, which happens if and only if the ring is a local ring.
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Unit (ring theory)
In mathematics, an invertible element or a unit in a (unital) ring R is any element u that has an inverse element in the multiplicative monoid of R, i.e. an element v such that uv = vu = 1R, where 1R is the multiplicative identity. The set of units of any ring is closed under multiplication (the product of two units is again a unit), and forms a group for this operation. It never contains the element 0 (except in the case of the zero ring), and is therefore not closed under addition; its complement however might be a group under addition, which happens if and only if the ring is a local ring.
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Element odwracalny – dla daneg ...... lne są odwracalne obustronnie.
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Em matemática, um elemento inv ...... então o anel é um anel local.
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En matemática, especialmente e ...... dad' en los anillos unitarios.
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En mathématiques, et plus part ...... orème des unités de Dirichlet.
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In de algebra, een deelgebied ...... en eenheid is een deler van 1.
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In der Algebra, einem Teilgebi ...... in unitären Ringen betrachtet.
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In mathematics, an invertible ...... and −x are always associated.
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Обратимым элементом, а также е ...... ются для областей целостности.
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الوحدة (بالإنجليزية: Unit) أو ...... وتشير إلى الجذر المكعب للوحدة.
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いくつかの冪等元を持つ半群 S について、S の元 a は ...... 元の全体は e を単位元として含む S の極大部分群を成す。
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Element odwracalny – dla daneg ...... dwracalnym. Łączność działania
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Em matemática, um elemento inv ...... l, então não é uma unidade. Se
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En matemática, especialmente e ...... an un grupo denotado por U(R).
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En mathématiques, et plus part ...... A* des éléments non nuls de A.
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In de algebra, een deelgebied ...... en eenheid is een deler van 1.
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In der Algebra, einem Teilgebi ...... in unitären Ringen betrachtet.
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In mathematics, an invertible ...... y if the ring is a local ring.
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Обратимым элементом, а также е ...... азываются ассоциированными с .
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الوحدة (بالإنجليزية: Unit) أو ...... داد المربعة الكاملة)، وستٌ لكل
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いくつかの冪等元を持つ半群 S について、S の元 a は ...... 元の全体は e を単位元として含む S の極大部分群を成す。
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Eenheid (algebra)
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Einheit (Mathematik)
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Element odwracalny
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Groupe des unités
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Unidad (álgebra)
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Unidade (teoria dos anéis)
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Unit (ring theory)
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Обратимый элемент
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وحدة (نظرية الحلقات)
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单位 (环论)
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