Antiisomorphism
In category theory, a branch of mathematics, an antiisomorphism (or anti-isomorphism) between structured sets A and B is an isomorphism from A to the opposite of B (or equivalently from the opposite of A to B). If there exists an antiisomorphism between two structures, they are said to be antiisomorphic. Intuitively, to say that two mathematical structures are antiisomorphic is to say that they are basically opposites of one another. The concept is particularly useful in an algebraic setting, as, for instance, when applied to rings.
- Comment
- enIn category theory, a branch of mathematics, an antiisomorphism (or anti-isomorphism) between structured sets A and B is an isomorphism from A to the opposite of B (or equivalently from the opposite of A to B). If there exists an antiisomorphism between two structures, they are said to be antiisomorphic. Intuitively, to say that two mathematical structures are antiisomorphic is to say that they are basically opposites of one another. The concept is particularly useful in an algebraic setting, as, for instance, when applied to rings.
- Has abstract
- enIn category theory, a branch of mathematics, an antiisomorphism (or anti-isomorphism) between structured sets A and B is an isomorphism from A to the opposite of B (or equivalently from the opposite of A to B). If there exists an antiisomorphism between two structures, they are said to be antiisomorphic. Intuitively, to say that two mathematical structures are antiisomorphic is to say that they are basically opposites of one another. The concept is particularly useful in an algebraic setting, as, for instance, when applied to rings.
- Hypernym
- Isomorphism
- Is primary topic of
- Antiisomorphism
- Label
- enAntiisomorphism
- Link from a Wikipage to an external page
- archive.org/details/theoryofrings0002jaco
- Link from a Wikipage to another Wikipage
- Bijection
- Binary relation
- Category:Algebra
- Category:Morphisms
- Category:Ring theory
- Category theory
- Directed graph
- Dual (category theory)
- Isomorphism
- Mathematical structure
- Mathematics
- Quaternion
- Ring (mathematics)
- SameAs
- 4RXN8
- Antiisomorfisme
- m.06qnls
- Q4774870
- پادیکریختی
- Subject
- Category:Algebra
- Category:Morphisms
- Category:Ring theory
- WasDerivedFrom
- Antiisomorphism?oldid=1064846368&ns=0
- WikiPageLength
- 3390
- Wikipage page ID
- 2152465
- Wikipage revision ID
- 1064846368
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- Template:Citation
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- Template:Short description
- Template:Use American English
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