Ideals of the core of $C^*$-algebras associated with self-similar maps [PDF]
Journal of Operator Theory, 2016 LaTeX 2e, 26 ...
Kajiwara, Tsuyoshi, Watatani, Yasuo
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Free associative algebras, noncommutative Gröbner bases, and universal associative envelopes for nonassociative structures [PDF]
, 2013 summary:First, we provide an introduction to the theory and algorithms for noncommutative Gröbner bases for ideals in free associative algebras. Second, we explain how to construct universal associative envelopes for nonassociative structures defined by ...
Murray R. Bremner, Bremner, Murray R.
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Nearly Associative and Nearly Hom-Associative Algebras and Bialgebras
, 2023 Basic definitions and properties of nearly associative algebras are described. Nearly associative algebras are proved to be Lie-admissible algebras. Two-dimensional nearly associative algebras are classified, and main classes are derived.
Silvestrov, Sergei, +1 more
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Pure infiniteness and ideal structure of C⁎-algebras associated to Fell bundles [PDF]
Journal of Mathematical Analysis and Applications, 2017 This is the version accepted to Journal of Mathematical Analysis and Applications. Pure infiniteness criteria have been generalized. In particular, now they unify the corresponding results of Jolissaint, Robertson and Sierakowski, R{\o ...
Bartosz Kosma Kwaśniewski +1 more
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Smarandache fantastic ideals of Smarandache BCI-algebras [PDF]
, 2006 The notion of Smarandache fantastic ideals is introduced, examples are given, and related properties are investigated. Relations among Q-Smarandache fresh ideals, Q-Smarandache clean ideals and Q-Smarandache fantastic ideals are given. A characterization
Jun, Y.B.
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On the semigroups of fully invariant ideals of the free group algebra and the free associative algebra [PDF]
Proceedings of the American Mathematical Society, 1993 Let R R be an integral domain,
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Solvable complemented Lie algebras. [PDF]
, 2012 In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
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Associative Algebras with Small Derived Ideal
Bulletin of the Iranian Mathematical SocietyThe paper concerns extra special associative algebras, an analogue of the Heisenberg Lie algebra. In particular, we say that an associative algebra is extra special if its center is equal to its derived ideal and the center is 1-dimensional. In this paper, we classify extra special associative algebras by proving that their structure is equivalent to ...
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Products of commutator ideals of some Lie-admissible algebras [PDF]
, 2022 In this article, we mainly study the products of commutator ideals of Lie-admissible algebras such as Novikov algebras, bicommutative algebras, and assosymmetric algebras.
Nam, Tran Giang +3 more
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Ideal structure of C ∗ -algebras associated with C ∗ -correspondences [PDF]
Pacific Journal of Mathematics, 2007 34 ...
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