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Tripotents: a class of strongly clean elements in rings
Periodic elements in a ring generate special classes of strongly clean elements. In particular, elements b such that b = b3+, which are called tripotents and include idempotents, negative of idempotents and order 2 units, are strongly clean.
Călugăreanu Grigore
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Together with a characteristic function, idempotent permutations uniquely determine idempotent maps, as well as their linearly ordered arrangement simultaneously. Furthermore, in-place linear time transformations are possible between them. Hence, they may be important for succinct data structures, information storing, sorting and searching.
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On Discrete Idempotent Paths [PDF]
The set of discrete lattice paths from (0, 0) to (n, n) with North and East steps (i.e. words w $\in$ { x, y } * such that |w| x = |w| y = n) has a canonical monoid structure inherited from the bijection with the set of join-continuous maps from the chain { 0, 1,. .. , n } to itself.
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SOS rule formats for idempotent terms and idempotent unary operators [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luca Aceto +2 more
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Dynamics near an idempotent [PDF]
15 pages, Comments and suggestions are welcome.
Shaikh, Md. Moid +2 more
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ABSTRACT I develop an axiomatic system of mereology that accounts for the ways in which musical works can be said to have parts. I distinguish two fundamental modes of composition that musical works exhibit: successive composition, whereby sound events are concatenated in time, and simultaneous composition, whereby sound events occur at the same time ...
Alejandro G. Di Rienzo
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Commuting idempotents of an H∗-algebra
Commutative H∗-algebra is characterized in terms of idempotents. Here we offer three characterizations.
P. P. Saworotnow
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Tropical algebra for noise removal and optimal control
Algorithms for noise removal are either complex or ineffective, and the optimal control with inequality constrains makes the algorithm even more complex.
Chun-Mei Gong, Jiao Peng, Jing Wang
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We investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ...
P.V. Danchev
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Advances in large DNA fragment assembly for microbial cell factory engineering
Abstract The efficient, rapid, and reliable assembly of DNA fragments is essential for advancing metabolic engineering and synthetic biology. With the rapid advancement of DNA synthesis and assembly technologies, the scale of DNA assembly has expanded from single genes to metabolic pathways and even genomes.
Yu Zhang +5 more
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