Int-Soft Filters of BE-Algebras by Sun Shin Ahn, N. O. Alshehri, Young Bae Jun

“…The notion of int-soft filters of a BE-algebra is introduced, and related properties are investigated. …”
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Multiplicities of Representations in Algebraic Families by Cai, Li, Fan, Yangyu

“…In this short notes, we consider multiplicities of representations in general algebraic families, especially the upper semi-continuity of homological multiplicities and the locally constancy of Euler–Poincaré numbers. …”
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On linear algebraic semigroups III by Mohan S. Putcha

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Generalized Derivations of BCC-Algebras by S. M. Bawazeer, N. O. Alshehri, Rawia Saleh Babusail

“…The notion of generalized derivations of BCC-algebras is introduced, and some related properties are investigated. …”
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Quasi-Jordan Banach Algebras by Reem K. Alhefthi, Akhlaq A. Siddiqui, Fatmah B. Jamjoom

“…We initiate a study of quasi-Jordan normed algebras. It is demonstrated that any quasi-Jordan Banach algebra with a norm 1 unit can be given an equivalent norm making the algebra isometrically isomorphic to a closed right ideal of a unital split quasi-Jordan Banach algebra; the set of invertible elements may not be open; the spectrum of any element is nonempty, but it may be neither bounded nor closed and hence not compact. …”
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(Co)homology of triassociative algebras by Donald Yau

“…We study homology and cohomology of triassociative algebras with nontrivial coefficients. The cohomology theory is applied to study algebraic deformations of triassociative algebras.…”
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Double multipliers on topological algebras by L. A. Khan, N. Mohammad, A. B. Thaheem

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On linear algebraic semigroups III by Mohan S. Putcha

Subjects: “…linear algebraic semigroup…”
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On incidence algebras and directed graphs by Ancykutty Joseph

“…The incidence algebra I(X,ℝ) of a locally finite poset (X,≤) has been defined and studied by Spiegel and O'Donnell (1997). …”
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Decompositions of a C-algebra by G. C. Rao, P. Sundarayya

“…We prove that if A is a C-algebra, then for each a∈A, Aa={x∈A/x≤a} is itself a C-algebra and is isomorphic to the quotient algebra A/θa of A where θa={(x,y)∈A×A/a∧x=a∧y}. …”
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Quantum Groupoids Acting on Semiprime Algebras by Inês Borges, Christian Lomp

“…Following Linchenko and Montgomery's arguments we show that the smash product of an involutive weak Hopf algebra and a semiprime module algebra, satisfying a polynomial identity, is semiprime.…”
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Algebraic Properties of Toeplitz Operators on the Polydisk by Bo Zhang, Yanyue Shi, Yufeng Lu

“…We discuss some algebraic properties of Toeplitz operators on the Bergman space of the polydisk Dn. …”
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Some categorical aspects of BCH-algebras by Muhammad Anwar Chaudhry, Hafiz Fakhar-ud-din

“…We show that the category BCH of BCH-algebras and BCH-homomorphisms is complete. We also show that it has coequalizers, kernel pairs, and an image factorization system. …”
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Some Aspects of -Units in BCK-Algebras by Hee Sik Kim, J. Neggers, Keum Sook So

“…We explore properties of the set of d-units of a -algebra. A property of interest in the study of -units in -algebras is the weak associative property. …”
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Discrimination in a General Algebraic Setting by Benjamin Fine, Anthony Gaglione, Seymour Lipschutz, Dennis Spellman

“…Remeslennikov as an outgrowth of their theory of algebraic geometry over groups. Algebraic geometry over groups became the main method of attack on the solution of the celebrated Tarski conjectures. …”
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Conditional Expectations for Unbounded Operator Algebras by Atsushi Inoue, Hidekazu Ogi, Mayumi Takakura

“…Two conditional expectations in unbounded operator algebras (O∗-algebras) are discussed. One is a vector conditional expectation defined by a linear map of an O∗-algebra into the Hilbert space on which the O∗-algebra acts. …”
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The dual of the multiplier algebra of Pedersen's ideal by Kelly McKennon

Subjects: “…multiplier algebra…”
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Continuous homomorphisms of Arens-Michael algebras by Alex Chigogidze

“…It is shown that every continuous homomorphism of Arens-Michael algebras can be obtained as the limit of a morphism of certain projective systems consisting of Fréchet algebras. …”
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States and Measures on Hyper BCK-Algebras by Xiao-Long Xin, Pu Wang

“…We define the notions of Bosbach states and inf-Bosbach states on a bounded hyper BCK-algebra (H,∘,0,e) and derive some basic properties of them. …”
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