Lambert M Surhone:Torsion (Algebra) : Abstract Algebra, Group (Mathematics), Periodic Group, Identity Element, Free Abelian Group, Pure Subgroup, Finitely Generated Module, Analytic Torsion
- edizione con copertina flessibile 2010, ISBN: 6130349351
[EAN: 9786130349356], Neubuch, [PU: VDM Verlag Dr. Müller E.K.], nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In abstract al… Altro …
[EAN: 9786130349356], Neubuch, [PU: VDM Verlag Dr. Müller E.K.], nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In abstract algebra, the term torsion refers to a number of concepts related to elements of finite order in groups and to the failure of modules to be free. Let G be a group. An element g of G is called a torsion element if g has finite order. If all elements of G are torsion, then G is called a torsion group. If the only torsion element is the identity element, then the group G is called torsion-free. Let M be a module over a ring R without zero divisors. An element m of M is called a torsion element if the cyclic submodule of M generated by m is not free. Equivalently, m is torsion if and only if it has a non-zero annihilator in R. If the ring R is commutative, then the set of all torsion elements forms a submodule of M, called the torsion submodule of M, sometimes denoted T(M). The module M is called a torsion module if T(M) = M, and is called torsion-free if T(M) = 0. If the ring R is non-commutative then the situation is more complicated, and the set of torsion elements need not be a submodule. Nevertheless, it is a submodule given the assumption that the ring R satisfies the Ore condition. This covers the case when R is a Noetherian domain. Englisch, Books<
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Lambert M Surhone:Torsion (Algebra) : Abstract Algebra, Group (Mathematics), Periodic Group, Identity Element, Free Abelian Group, Pure Subgroup, Finitely Generated Module, Analytic Torsion
- edizione con copertina flessibile 2010, ISBN: 6130349351
[EAN: 9786130349356], Nieuw boek, [SC: 14.17], [PU: VDM Verlag Dr. Müller E.K.], nach der Bestellung gedruckt Neuware -High Quality Content by WIKIPEDIA articles! In abstract algebra, the… Altro …
[EAN: 9786130349356], Nieuw boek, [SC: 14.17], [PU: VDM Verlag Dr. Müller E.K.], nach der Bestellung gedruckt Neuware -High Quality Content by WIKIPEDIA articles! In abstract algebra, the term torsion refers to a number of concepts related to elements of finite order in groups and to the failure of modules to be free. Let G be a group. An element g of G is called a torsion element if g has finite order. If all elements of G are torsion, then G is called a torsion group. If the only torsion element is the identity element, then the group G is called torsion-free. Let M be a module over a ring R without zero divisors. An element m of M is called a torsion element if the cyclic submodule of M generated by m is not free. Equivalently, m is torsion if and only if it has a non-zero annihilator in R. If the ring R is commutative, then the set of all torsion elements forms a submodule of M, called the torsion submodule of M, sometimes denoted T(M). The module M is called a torsion module if T(M) = M, and is called torsion-free if T(M) = 0. If the ring R is non-commutative then the situation is more complicated, and the set of torsion elements need not be a submodule. Nevertheless, it is a submodule given the assumption that the ring R satisfies the Ore condition. This covers the case when R is a Noetherian domain. Englisch, Books<
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Lambert M Surhone:Torsion (Algebra)
- edizione con copertina flessibile 2010, ISBN: 6130349351
[EAN: 9786130349356], Neubuch, [PU: VDM Verlag Dr. Müller E.K. Jan 2010], This item is printed on demand - it takes 3-4 days longer - Neuware -High Quality Content by WIKIPEDIA articles! … Altro …
[EAN: 9786130349356], Neubuch, [PU: VDM Verlag Dr. Müller E.K. Jan 2010], This item is printed on demand - it takes 3-4 days longer - Neuware -High Quality Content by WIKIPEDIA articles! In abstract algebra, the term torsion refers to a number of concepts related to elements of finite order in groups and to the failure of modules to be free. Let G be a group. An element g of G is called a torsion element if g has finite order. If all elements of G are torsion, then G is called a torsion group. If the only torsion element is the identity element, then the group G is called torsion-free. Let M be a module over a ring R without zero divisors. An element m of M is called a torsion element if the cyclic submodule of M generated by m is not free. Equivalently, m is torsion if and only if it has a non-zero annihilator in R. If the ring R is commutative, then the set of all torsion elements forms a submodule of M, called the torsion submodule of M, sometimes denoted T(M). The module M is called a torsion module if T(M) = M, and is called torsion-free if T(M) = 0. If the ring R is non-commutative then the situation is more complicated, and the set of torsion elements need not be a submodule. Nevertheless, it is a submodule given the assumption that the ring R satisfies the Ore condition. This covers the case when R is a Noetherian domain. Englisch, Books<
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Lambert M. Surhone:Torsion (Algebra)
- edizione con copertina flessibile 2010, ISBN: 6130349351
[EAN: 9786130349356], Neubuch, [PU: Betascript Publishers Jan 2010], Neuware - High Quality Content by WIKIPEDIA articles! In abstract algebra, the term torsion refers to a number of conc… Altro …
[EAN: 9786130349356], Neubuch, [PU: Betascript Publishers Jan 2010], Neuware - High Quality Content by WIKIPEDIA articles! In abstract algebra, the term torsion refers to a number of concepts related to elements of finite order in groups and to the failure of modules to be free. Let G be a group. An element g of G is called a torsion element if g has finite order. If all elements of G are torsion, then G is called a torsion group. If the only torsion element is the identity element, then the group G is called torsion-free. Let M be a module over a ring R without zero divisors. An element m of M is called a torsion element if the cyclic submodule of M generated by m is not free. Equivalently, m is torsion if and only if it has a non-zero annihilator in R. If the ring R is commutative, then the set of all torsion elements forms a submodule of M, called the torsion submodule of M, sometimes denoted T(M). The module M is called a torsion module if T(M) = M, and is called torsion-free if T(M) = 0. If the ring R is non-commutative then the situation is more complicated, and the set of torsion elements need not be a submodule. Nevertheless, it is a submodule given the assumption that the ring R satisfies the Ore condition. This covers the case when R is a Noetherian domain. 80 pp. Englisch<
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Torsion (Algebra)
- nuovo libroISBN: 9786130349356
High Quality Content by WIKIPEDIA articles! In abstract algebra, the term torsion refers to a number of concepts related to elements of finite order in groups and to the failure of module… Altro …
High Quality Content by WIKIPEDIA articles! In abstract algebra, the term torsion refers to a number of concepts related to elements of finite order in groups and to the failure of modules to be free. Let G be a group. An element g of G is called a torsion element if g has finite order. If all elements of G are torsion, then G is called a torsion group. If the only torsion element is the identity element, then the group G is called torsion-free. Let M be a module over a ring R without zero divisors. An element m of M is called a torsion element if the cyclic submodule of M generated by m is not free. Equivalently, m is torsion if and only if it has a non-zero annihilator in R. If the ring R is commutative, then the set of all torsion elements forms a submodule of M, called the torsion submodule of M, sometimes denoted T(M). The module M is called a torsion module if T(M) = M, and is called torsion-free if T(M) = 0. If the ring R is non-commutative then the situation is more complicated, and the set of torsion elements need not be a submodule. Nevertheless, it is a submodule given the assumption that the ring R satisfies the Ore condition. This covers the case when R is a Noetherian domain. Bücher, Hörbücher & Kalender / Bücher / Sachbuch / Naturwissenschaften / Mathematik<
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