Structure of rings with certain conditions on zero divisors.
Structure of the Unit Group of FD10
2000 Mathematics Subject Classification: 16U60, 20C05.The structure of the unit group of the group algebra FD10 of the dihedral group D10 of order 10 over a finite field F has been obtained.Supported by National Board of Higher Mathematics, DAE, India.
Structure of the unit group of the group algebras of non-metabelian groups of order 128
We characterize the unit group for the group algebras of non-metabelian groups of order 128 over the finite fields whose characteristic does not divide the order of the group. Up to isomorphism, there are 2328 groups of order 128 and only 14 of them are non-metabelian. We determine the Wedderburn decomposition of the group algebras of these non-metabelian groups and subsequently characterize their unit groups.
Structure of weakly periodic rings with potent extended commutators.
Structure theory for the group algebra of the symmetric group, with applications to polynomial identities for the octonions
This is a survey paper on applications of the representation theory of the symmetric group to the theory of polynomial identities for associative and nonassociative algebras. In §1, we present a detailed review (with complete proofs) of the classical structure theory of the group algebra of the symmetric group over a field of characteristic 0 (or ). The goal is to obtain a constructive version of the isomorphism where is a partition of and counts the standard tableaux of shape ....
Structures algébriques généralisées des problèmes de cheminement dans les graphes
Structures de Jacobi sur une variété des points proches
Structures naturelles des demi-groupes et des anneaux réguliers ou involutés
Certaines relations binaires sont définies sur les demi-groupes et les demi-groupes à involution. On examine comment elles peuvent en ordonner les éléments: notamment les idempotents, les éléments réguliers au sens de von Neumann, ceux qui possédent un inverse ponctuel ou de Moore-Penrose ; et en fonction aussi de conditions sur l'involution. Ces relations peuvent alors coïncider avec les ordres naturels des idempotents et des demi-groupes inverses, avec les ordres de Drazin et de Hartwig : elles...
Structures of fuzzy ideals of -ring.
Sturdy frames of type (2,2) algebras and their applications to semirings
We introduce sturdy frames of type (2,2) algebras, which are a common generalization of sturdy semilattices of semigroups and of distributive lattices of rings in the theory of semirings. By using sturdy frames, we are able to characterize some semirings. In particular, some results on semirings recently obtained by Bandelt, Petrich and Ghosh can be extended and generalized.
Subalgebra bases and recognizable properties.
Subalgebras that are Cyclic as Submodules.
Subcategories of the derived category and cotilting complexes
We show that there is a one-to-one correspondence between basic cotilting complexes and certain contravariantly finite subcategories of the bounded derived category of an artin algebra. This is a triangulated version of a result by Auslander and Reiten. We use this to find an existence criterion for complements to exceptional complexes.
Subdirect products of semirings.
Subdivision rings of a semiring
Subgroups and Conjugates in Semi-Prime Rings.
Subgroups of finite index in an additive group of a ring.
Subgroups of the basic subgroup in a modular group ring
Subpair multiplicities in finite groups.
Subproducts defined by means of subdirect products
Si supponga che l'anello ammetta una decomposizione come prodotto subdiretto di anelli , tali che per si abbia (), e sia . Si scelga un -modulo (destro) che sia libero da torsione rispetto ad , cioè ; allora può essere rappresentato come prodotto subdiretto irridondante degli -moduli liberi da torsione rispetto ad . Si fa uno studio di un subprodotto generale di una classe di -moduli