Pseudo-Weak-R0 Algebras by Yong Lin Liu, Xiaobo Cai

“…A positive answer to the open problem of Iorgulescu on extending weak-R0 algebras and R0-algebras to the noncommutative forms is given. …”
Get full text

Finite dimensionality in scole of Banach algebras by Sin-Ei Takahasi

“…It is shown that if the socle soc(A) of a semisimple Banach algebra A is norm-closed, then soc(A) is already finite dimensional. …”
Get full text

A generalised hopf algebra for solitons by Falleh R. Al-Solamy, Edwin J. Beggs

“…This paper considers a generalisation of the idea of a Hopf algebra in which a commutative ring replaces the field in the unit and counit. …”
Get full text

On Generalized Derivations of BCI-Algebras and Their Properties by L. Kamali Ardekani, B. Davvaz

“…We introduce the concept of (f,g)-derivations of BCI-algebras and we investigate some fundamental properties and establish some results on (f,g)-derivations. …”
Get full text

Fuzzy Annihilator Ideals of C-Algebra by Wondwosen Zemene Norahun, Teferi Getachew Alemayehu, Gezahagne Mulat Addis

“…It is proved that the class of fuzzy ideals of C-algebras forms Heything algebra. We observe that the class of all fuzzy annihilator ideals can be made as a complete Boolean algebra. …”
Get full text

Algebra – yes, it is.. Commentary for Study modulus by Gediminas Dosinas

Get full text

Tensor products of commutative Banach algebras by U. B. Tewari, M. Dutta, Shobha Madan

Subjects: “…commutative semisimple Banach algebra…”
Get full text

Multiparametric Quantum Algebras and the Cosmological Constant by Edoardo Di Napoli, Chethan Krishnan

Get full text

Approximate Riesz Algebra-Valued Derivations by Faruk Polat

“…Let be a Riesz algebra with an extended norm such that is complete. …”
Get full text

On whitehead's second lemma for Lie algebras by William T. Fletcher

Get full text

Rota-Baxter Leibniz Algebras and Their Constructions by Liangyun Zhang, Linhan Li, Huihui Zheng

“…In this paper, we introduce the concept of Rota-Baxter Leibniz algebras and explore two characterizations of Rota-Baxter Leibniz algebras. …”
Get full text

The Galois algebras and the Azumay Galois extensions by George Szeto, Lianyong Xue

“…Let B be a Galois algebra over a commutative ring R with Galois group G, C the center of B, K={g∈G|g(c)=c for all  c∈C}, Jg{b∈B|bx=g(x)b for all x∈B} for each g∈K, and BK=(⊕∑g∈K Jg). …”
Get full text

$\mathcal{T}_{M}$-Amenability of Banach Algebras by Ali Ghaffari, Samaneh Javadi

Subjects: Get full text

Joint Spectra of Generators in Topological Algebras by Antoni Wawrzyńczyk

“…Let 𝒜 be a complex topological algebra with unit 1 and 𝒰 a family of proper closed ideals in 𝒜. …”
Get full text

Intuitionistic fuzzy ideals of BCK-algebras by Young Bae Jun, Kyung Ho Kim

“…We consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK-algebras, and investigate some of their properties. …”
Get full text

On (α,β)-Derivations in BCI-Algebras by G. Muhiuddin, Abdullah M. Al-Roqi

“…The notion of (regular) (α,β)-derivations of a BCI-algebra X is introduced, some useful examples are discussed, and related properties are investigated. …”
Get full text

Approximate Cubic ∗-Derivations on Banach ∗-Algebras by Seo Yoon Yang, Abasalt Bodaghi, Kamel Ariffin Mohd Atan

“…We study the stability of cubic ∗-derivations on Banach ∗-algebras. We also prove the superstability of cubic ∗-derivations on a Banach ∗-algebra A, which is left approximately unital.…”
Get full text

Commutative Pseudo Valuations on BCK-Algebras by Myung Im Doh, Min Su Kang

“…The notion of a commutative pseudo valuation on a BCK-algebra is introduced, and its characterizations are investigated. …”
Get full text

On Fuzzy Positive Implicative Filters in BE-Algebras by Sun Shin Ahn, Jeong Soon Han

“…We study several degrees in defining a fuzzy positive implicative filter, which is a generalization of a fuzzy filter in BE-algebras.…”
Get full text

Gravitational Algebras and Applications to Nonequilibrium Physics by Michele Cirafici

Subjects: “…operator algebras…”
Get full text