Inverse semirings and their lattice of congruences
Inverse semirings whose additive endomorphisms are multiplicative
Inversive Localization at Semiprime Goldie Ideals.
Invertible ideals and Gaussian semirings
In the first section, we introduce the notions of fractional and invertible ideals of semirings and characterize invertible ideals of a semidomain. In section two, we define Prüfer semirings and characterize them in terms of valuation semirings. In this section, we also characterize Prüfer semirings in terms of some identities over its ideals such as for all ideals , of . In the third section, we give a semiring version for the Gilmer-Tsang Theorem, which states that for a suitable family...
Involution Matrix Algebras – Identities and Growth
2000 Mathematics Subject Classification: 16R50, 16R10.The paper is a survey on involutions (anti-automorphisms of order two) of different kinds. Starting with the first systematic investigations on involutions of central simple algebras due to Albert the author emphasizes on their basic properties, the conditions on their existence and their correspondence with structural characteristics of the algebras. Focusing on matrix algebras a complete description of involutions of the first kind on Mn(F)...
Involutionen in halbeinfachen Algebren
Involutionen zweiter Art in halbeinfachen Algebren
Involutions and trace forms on exterior powers of a central simple algebra.
Involutions on orders. I.
Inyectividad pura y dimensión débil.
Iperanelli ed ipercorpi
Irreducible binary -bimodules over simple finite-dimensional algebras.
Irreducible morphisms, the Gabriel-valued quiver and colocalizations for coalgebras.
Irreducible representations of quantum matrices.
Isbell duality for modules.
Isobaric QF-rings
Isométries de caractères et équivalences de Morita ou dérivées
Isomorphe Gruppenringe lokal endlicher Gruppen.
Isomorphism of commutative group algebras of -mixed splitting groups over rings of characteristic zero
Suppose is a -mixed splitting abelian group and is a commutative unitary ring of zero characteristic such that the prime number satisfies . Then and are canonically isomorphic -group algebras for any group precisely when and are isomorphic groups. This statement strengthens results due to W. May published in J. Algebra (1976) and to W. Ullery published in Commun. Algebra (1986), Rocky Mt. J. Math. (1992) and Comment. Math. Univ. Carol. (1995).
Isomorphism of Commutative Modular Group Algebras
∗ The work was supported by the National Fund “Scientific researches” and by the Ministry of Education and Science in Bulgaria under contract MM 70/91.Let K be a field of characteristic p > 0 and let G be a direct sum of cyclic groups, such that its torsion part is a p-group. If there exists a K-isomorphism KH ∼= KG for some group H, then it is shown that H ∼= G. Let G be a direct sum of cyclic groups, a divisible group or a simply presented torsion abelian group. Then KH ∼= KG as K-algebras...