Eulerian Polynomial Identities on Matrix Rings
β Scribed by J. Szigeti; Z. Tuza; G. Revesz
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 325 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In the present paper we study generalized functional identities involving multiadditive functions. Our results simultaneously generalize Martindale's theorem on prime rings with generalized polynomial identities and Bresar's results on general-Ηzed functional identities of degree two.
We prove combinatorially that the W-polynomials of naturally labeled graded posets of rank 1 or 2 (an antichain has rank 0) are unimodal, thus providing further supporting evidence for the Neggers Stanley conjecture. For such posets we also obtain a combinatorial proof that the W-polynomials are sym
Let A be a prime ring with involution ), let S be the symmetric elements, let K be the skew elements, let Q be the maximal left ring of quotients, x , . . . , x m l 1 m
We study G-gradings of the matrix ring M k , k a field, and give a complete n description of the gradings where all the elements e are homogeneous, called i, j good gradings. Among these, we determine the ones that are strong gradings or < < crossed products. If G is a finite cyclic group and k cont