More on the Schur group of a commutative ring.
Mollin, R.A. (1985)
International Journal of Mathematics and Mathematical Sciences
O. M. Di Vincenzo, A. Valenti (1991)
Rendiconti del Seminario Matematico della Università di Padova
Bilal Ahmad Wani (2021)
Communications in Mathematics
Let be a Banach space of dimension and be a standard operator algebra. In the present paper it is shown that if a mapping (not necessarily linear) satisfies for all , then , where is an additive derivation of and vanishes at second commutator for all . Moreover, if is linear and satisfies the above relation, then there exists an operator and a linear mapping from into satisfying for all , such that for all .
Mostafa Amini, Driss Bennis, Soumia Mamdouhi (2022)
Czechoslovak Mathematical Journal
Let be a graded ring and be an integer. We introduce and study the notions of Gorenstein -FP-gr-injective and Gorenstein -gr-flat modules by using the notion of special finitely presented graded modules. On -gr-coherent rings, we investigate the relationships between Gorenstein -FP-gr-injective and Gorenstein -gr-flat modules. Among other results, we prove that any graded module in -gr (or gr-) admits a Gorenstein -FP-gr-injective (or Gorenstein -gr-flat) cover and preenvelope, respectively....
Chowdhury, K.C., Das, G.C. (2004)
Mathematica Pannonica
Zenghui Gao, Jie Peng (2019)
Czechoslovak Mathematical Journal
Let be a graded ring and an integer. We introduce and study -strongly Gorenstein gr-projective, gr-injective and gr-flat modules. Some examples are given to show that -strongly Gorenstein gr-injective (gr-projective, gr-flat, respectively) modules need not be -strongly Gorenstein gr-injective (gr-projective, gr-flat, respectively) modules whenever . Many properties of the -strongly Gorenstein gr-injective and gr-flat modules are discussed, some known results are generalized. Then we investigate...
Jean-Christophe Novelli, Frédéric Patras, Jean-Yves Thibon (2013)
Bulletin de la Société Mathématique de France
The Hopf algebra of word-quasi-symmetric functions (), a noncommutative generalization of the Hopf algebra of quasi-symmetric functions, can be endowed with an internal product that has several compatibility properties with the other operations on . This extends constructions familiar and central in the theory of free Lie algebras, noncommutative symmetric functions and their various applications fields, and allows to interpret as a convolution algebra of linear endomorphisms of quasi-shuffle...
Clay, James R., Kautschitsch, Hermann (1993)
Mathematica Pannonica
Louis Boutet de Monvel (1978/1979)
Séminaire Bourbaki
M. Artin, J.T. Stafford (1995)
Inventiones mathematicae
Ricardo Alfaro (1992)
Publicacions Matemàtiques
We give conditions for the skew group ring S * G to be strongly separable and H-separable over the ring S. In particular we show that the H-separability is equivalent to S being central Galois extension. We also look into the H-separability of the ring S over the fixed subring R under a faithful action of a group G. We show that such a chain: S * G H-separable over S and S H-separable over R cannot occur, and that the centralizer of R in S is an Azumaya algebra in the presence of a central element...
Mohammad Ashraf, Shakir Ali, Bilal Ahmad Wani (2018)
Communications in Mathematics
Let be an infinite-dimensional complex Hilbert space and be a standard operator algebra on which is closed under the adjoint operation. It is shown that every nonlinear -Lie higher derivation of is automatically an additive higher derivation on . Moreover, is an inner -higher derivation.
Roman'kov, V.A., Chirkov, I.V., Shevelin, M.A. (2004)
Sibirskij Matematicheskij Zhurnal
Jiří Rachůnek, Dana Šalounová (2003)
Czechoslovak Mathematical Journal
Weakly associative lattice rings (wal-rings) are non-transitive generalizations of lattice ordered rings (l-rings). As is known, the class of l-rings which are subdirect products of linearly ordered rings (i.e. the class of f-rings) plays an important role in the theory of l-rings. In the paper, the classes of wal-rings representable as subdirect products of to-rings and ao-rings (both being non-transitive generalizations of the class of f-rings) are characterized and the class of wal-rings having...
El-Miloudi Marhrani, Mohamed Aamri (1998)
Collectanea Mathematica
We give some criteria of normability of an S-ring, and we study the properties of its norms.
Michela Brundu (1987)
Manuscripta mathematica
Yang, S., Wang, D. (1998)
Portugaliae Mathematica
Levchuk, V.M., Suleĭmanova, G.S. (2002)
Sibirskij Matematicheskij Zhurnal
Jiang, X.-L., Szeto, G. (1999)
Portugaliae Mathematica
Öznur Gölbaşi, Emine Koç (2010)
Rendiconti del Seminario Matematico della Università di Padova