Rings and Algebras
Natural Generalized Inverse and Core of an Element in Semigroups, Rings and Banach and Operator algebras
... In [ 18 ] the author introduced a special outer inverse, called inverse along an element in the context of semigroups. The aim of this article is to use this new inverse to study bicommut- ing generalized inverses. Then, ...
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Computational problems in algebra: units in group rings and subalgebras of real simple Lie algebras
... Lie algebras is one of the main results in modern mathematics, with a wide range of applications in such fields as group theory, geometry, and theoretical ...Lie algebras and their ...
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Parasolubility in Lie rings and Lie algebras
... In this chapter we shall obtain the analogue of this :result for Lie rings as a corollary to a stronger result, namely that the paralyzer of an ascending series of Lie ring-modules lies [r] ...
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Generalized derivations with power values in rings and Banach algebras
... context a very interesting question is how to obtain the noncommutative version of the Singer- Wermer theorem. A first answer to this problem was obtained by Sinclair [28]. He proved that every continuous derivation of a ...
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Maximal quotient rings of prime nonsingular group algebras
... We are going to use Theorem 3 to handle general prime nonsingular group algebras of soluble groups, and for this we need to know when there are uniform right ideals in normal subgroup al[r] ...
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Dependent Elements of Derivations on Semiprime Rings
... Neumann algebras are semiprime rings; in particular a von Neumann algebra is prime if and only if its centre consists of the scalar multiples of identity ...Neumann algebras is the study of this ...
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\((G,\phi)\)-crossed product on \((G,\phi)\)-quasiassociative algebras
... φ)-quasiassociative algebras were introduced by ...graded rings and graded algebras ([9–12]), in the present paper we extend the concepts of crossed product and ...
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Vol 7, No 12 (2016)
... It is well known that there is a duality between Boolean algebras and Boolean rings. In this paper we discuss in detail, a categorical equivalence between ABA's and ABR's. In section 3, we give equivalent ...
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ON INVERSE CATEGORIES AND TRANSFER IN COHOMOLOGY
... right adjoint to each other, and every choice of symmetrising forms on A and B determines adjunction isomorphisms. Thus, more precisely, the bimodule M together with a choice of symmetrising forms on A and B induces ...
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Quotients of orders in algebras obtained from skew polynomials with applications to coding theory
... unital rings that occur as quo- tients of natural nonassociative orders in generalized nonassociative cyclic division alge- bras over number ...division algebras are obtained as special ...
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Approximate ternary quadratic derivations on ternary Banach algebras and C* ternary rings
... Banach algebras and C*-ternary rings associated with the quadratic functional equation f(x + y) + f(x - y) = 2f(x) + 2f(y) using this fixed point ...
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Vol 3, No 5 (2012)
... In this paper we will show that normal ideals, while not always producing Cohen – Macaulay Rees algebras, do often yield depth information about associated graded near rings. A corollary will provide a 2 – ...
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Lamplighter groups and von Neumann's continuous regular rings
... ∗-regular algebras are called continuous ∗-algebras (see [5] for an extensive study of continuous ...matrix algebras the possible values of the rank functions are 0, 1/k, 2/k, ...
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Generalizations of the primitive element theorem
... In section 4, we examine algebras over semilocal rings and we show that a finitely generated central separable algebra over a semilocal ring can also be generated by two elements over th[r] ...
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Derivations on QS- algebras
... In 1966, Y. Imai and K. Isèki introduced two classes of abstract algebras: BCK-algebras and BCI-algebras [10,11,16]. It is known that the class of BCK-algebras is a proper subclass of the ...
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Quiver Generalized Weyl Algebras, Skew Category Algebras and Diskew Polynomial Rings
... of algebras—quiver generalized Weyl algebras, skew category algebras, diskew polynomial rings, skew semi-Laurent polynomial rings and the simplex generalized Weyl ...
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Generalized Weyl algebras and diskew polynomial rings
... Weyl algebras to a larger class of rings (they are also called generalized Weyl algebras) that are determined by two ring endomorphisms rather than one as in the case of ‘old’ ...of rings, the ...
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Rings with involution whose symmetric elements are central
... The classification of such rings which are 2-torsion free is equivalent to the classification of Lie algebras.. that is symmetric, invariant and satisfies If.[r] ...
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Co-prolongations of a group extension
... of algebras (such as rings, k-split algebras) were dealt with by appropriate cohomology theories (such as Mac Lane cohomology, Hochschild cohomology) (see [4, ...
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Algebra of Finite-Valued Functions: Classification of Functions and Subalgebras, Essential and Fictitious Subalgebras
... families. Algebras generated by functions of a family have name of this ...these algebras can contain algebras of other families. Algebras containing functions of constant families are called ...
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