The classes of clean and nil-clean rings are closed with respect standard constructions as direct products and (triangular) matrix rings, cf. [12] resp. [4], while the classes of weakly (nil-)clean rings are not closed under these constructions. Moreover, while all matrix rings over fields are clean, [12] when we consider nil-clean rings there are strongly restrictions: if a matrix ring over a ...

Every virtually cyclic group Γ that surjects onto the infinite dihedral group D∞ contains an index two subgroup Π of the form H ⋊α Z. We show that the Waldhausen Nil-group of Γ vanishes if and only if the Farrell Nil-group of Π vanishes. 1. Statement of results. The Bass Nil-groups, Farrell Nil-groups, and Waldhausen Nil-groups appear respectively as pieces in the computation of the algebraicK-...

Antoine studied conditions which are connected to the question of Amitsur of whether or not a polynomial ring over a nil ring is nil, introducing the notion of nil-Armendariz rings. Hizem extended the nil-Armendariz property for polynomial rings onto powerseries rings, say nil power-serieswise rings. In this paper, we introduce the notion of power-serieswise CN rings that is a generalization of...

The producing cells of the negative regulator of interleukin-3 (NIL-3) were investigated. The 5-fluorouracil-treated bone marrow cells did not produce NIL-3. The bone marrow cells of stem cell-depleted W/WV mouse did not produce the NIL-3, either. The production of NIL-3 was different among mouse strains. Mice of C3H/HeN, A/J and ICR strains produced NIL-3, but the C57BL/6 mice did not produce ...

We show the nonexistence of deep pockets in a large class of groups, extending a result of Bogopol’skĭi. We then give examples of important groups (namely lattices in Nil and Sol) which have deep pockets.

We construct new explicit proper biharmonic functions on the 3-dimensional Thurston geometries Sol, Nil, S̃L2(R), H 2 × R and

All gold and silver coins legally current in the UK Certain French, Spanish and American gold coins 5-franc pieces of the Latin Union All bronze coins legally current in the UK nil nil 3. Gold Coast and Dependencies ditto nil nil ditto Nickel-bronze 1/10 of a penny, halfpenny and 1-penny pieces nil 4. Southern Nigeria (Western Province) ditto Certain French, spanish and american gold coins nil ...

The synthesis of proteins with affinity for DNA has been studied in clones of a Syrian hamster cell line (NIL) and subclones of this line transformed by polyoma virus (NIL-Py) or hamster sarcoma virus (NIL-HSV). The results show that the synthesis of DNA-binding proteins in NIL and in its virus-transformed derivatives NIL-Py and NIL-HSV is very similar in exponentially growing cells, but in den...

Informal language is actively used in network-mediated communication, e.g. chat room, BBS, email and text message. We refer the anomalous terms used in such context as network informal language (NIL) expressions. For example, “ (ou3)” is used to replace “ (wo3)” in Chinese ICQ. Without unconventional resource, knowledge and techniques, the existing natural language processing approaches exhibit...