The aim of this paper is to characterise intra-regular ring R by using the concept of intuitionistic fuzzy left(right,bi,quasi) ideals of R.

We characterize the left (right) quasi-regular and the semisimple ordered semigroups in terms of fuzzy sets. Mathematics Subject Classification: 06F05 (08A72)

A (left) quotient of a language L by a word w is the language wL = {x | wx ∈ L}. The quotient complexity of a regular language L is the number of quotients of L; it is equal to the state complexity of L, which is the number of states in a minimal deterministic finite automaton accepting L. An atom of L is an equivalence class of the relation in which two words are equivalent if for each quotien...

Let G be a Garside group endowed with the generating set $${\cal S}$$ of non-trivial simple elements, and let H parabolic subgroup G. We determine transversal T in such that each θ ∈ is minimal length its right-coset, Hθ, for word respect to . show there exists regular language L on S} \cup {{\cal S}^{- 1}}$$ bijection ev: → satisfying $$\lg \left(U \right) = {\lg _{\cal S}}\left({ev\left(U \ri...

Let G denote a locally compact (not necessarily abelian) group and M(G) the collection of finite regular Borel measures on G. The set M(G) is a semisimple Banach algebra with identity under convolution *. It can be identified with the dml space of CO(G), the space of continuous complex-valued functions on G that vanish at infinity, with the sup-norm. The group G has a left-invariant regular Bor...

We report a patient who has maintained a regular menstrual cycle despite undergoing cystectomy and chemotherapy for contralateral recurrence of ovarian immature teratoma with gliomatosis peritonei. We initially performed a fertility-sparing right salpingo-oophorectomy, omentectomy and peritoneal biopsy for immature teratoma with gliomatosis peritonei, with adjuvant chemotherapy; we performed a ...

The left-to-right and right-to-left iterative languages are previously unnoticed subclasses of the regular languages of infinite size that are identifiable in the limit from positive data. Essentially, these language classes are the ones obtained by merging final states in a prefix tree and initial states in a suffix tree of the observed sample, respectively. Strikingly, these classes are also ...

The algorithm IS-FP takes up the idea from the IS-FBN algorithm developed for the shared task 2007. Both algorithms learn the individual attribute selection style for each human that provided referring expressions to the corpus. The IS-FP algorithm was developed with two additional goals (1) to improve the indentification time that was poor for the FBN algorithm and (2) to push the dice score e...

The notions of uni-soft semigroups, uni-soft left (right) ideals and uni-soft quasi ideals are introduced, and related properties are investigated. Characterizations of uni-soft semigroups, uni-soft left (right) ideals and uni-soft quasi ideals are discussed. A regular semigroup is characterized by the notion of a uni-soft quasi ideal.

We explore (weak) continuity properties of group operations. For this purpose, the Novak number and developability number are applied. It is shown that if (G, ·, τ ) is a regular right (left) semitopological group with dev(G) < Nov(G) such that all left (right) translations are feebly continuous, then (G, ·, τ ) is a topological group. This extends several results in literature.